In the absence of air resistance, the angle at which a thrown ball will go the farthest is?

A ball is thrown into the air at some angle, with initial velocities v_x (horizontal) and v_y (vertical). At the very top of the ball’s path:

What is its velocity in the vertical direction?

A ball is thrown into the air at some angle, with initial velocities v_x (horizontal) and v_y (vertical). At the very top of the ball’s path:

What is its velocity in the horizontal direction?

A package is dropped from an airplane, where will the package hit the ground?

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

A ball thrown straight up takes 8 total seconds to complete its journey all the way up and down. 1 second into its journey and 7 seconds into its journey the magnitude of its velocity will be ______________ and its direction _______________.

The fact that an apple and a watermelon, dropped simultaneously from the same height, would hit the ground at the same time indicates that

The initial horizontal velocity of a projectile is ____ its final horizontal velocity.

What is true about the vertical velocity of a projectile launched horizontally?

If two projectiles are launched at two different heights, 2m and 10m, which one will reach the ground first?

What is the velocity of an object launched straight up at its highest point?

A projectile is launched with a horizontal velocity of 20 m/s and an initial vertical velocity of 20 m/s. Which graph correctly shows the horizontal velocity of the projectile over time?

A projectile is launched with a horizontal velocity of 20 m/s and an initial vertical velocity of 20 m/s. Which graph correctly shows the vertical velocity of the projectile over time?

In the picture, cannonball A was launched at 10 m/s at 60°, and B was launched at 18 m/s at 25°. The cannonball that hit the ground first was

A skateboarder rolls off a bridge into the river as shown. If the skateboarder spent 0.79 s in the air, how far above the river is the edge of the bridge?

A projectile is launched, and its vertical and horizontal velocities are shown in the graph. What is the magnitude of the projectile's initial velocity?

A projectile is launched with 45m/s at an angle 30^o above the horizontal. What is the V_y when the projectile hits the ground.

A projectile is launched with 45m/s at an angle 30^o above the horizontal. What is the V_x when the projectile hits the ground.

A ball is thrown and follows the parabolic path shown above. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground. Which of the following diagrams best shows the direction of the acceleration of the ball at point P?

A ball is thrown horizontally from a height of 1.5 m and lands 5 m away. What is the time of flight of the ball?

A ball is rolling across a table with a horizontal velocity of 2m/s. It rolls off a table that's 2m tall. How far does the ball land away from the table (Δx)?

A ball rolls off of a horizontal table and falls to the ground. The instant the ball leaves the table its vertical velocity is...

If a ball is thrown with an initial horizontal velocity of 12 m/s, what will the horizontal velocity be when the ball is at the top of its trajectory?

When backed up 4th and long, the Eagles decide to punt the football. The ball is kicked so that it lifts off with an angle to the ground of 39 degrees. The initial speed is 31 m/s. What is the initial horizontal speed of the football?

When backed up 4th and long, the Eagles decide to punt the football. The ball is kicked so that it lifts off with an angle to the ground of 39 degrees. The initial speed is 31 m/s. What is the initial vertical speed of the football?

Which will hit the ground first?

For projectiles, a_x = __________ and a_y = __________.

A projectile is launched from the top of a 4.5 m tower and lands 15 m away from the base of the tower. Find the horizontal velocity of the projectile.

1- A projectile is launched horizontally from the top of a 45.2-meter high cliff and lands a distance of 17.6 meters from the base of the cliff. Determine the magnitude of the launch velocity.

5- You launch three identical parabolic projectiles from the same cannon. The launch angle for all three projectiles was 30^∘. The initial launch velocities were different.

Projectile #1 was launched at 30 m/s

Projectile #2 was launched at 20 m/s.

Projectile #3 was launched at 10 m/s.

Which projectile had the longest time of flight?

7-You launch three identical parabolic projectiles from the same cannon. The initial launch velocity for all three projectiles was the same at 30 m/s. The launch angles were different.

Projectile #1 was launched at an angle of 20^∘.

Projectile #2 was launched at an angle of 30^∘.

Projectile #3 was launched at an angle of 60^∘.

Which projectile had the longest time of flight?

Projectile Motion is motion in _____ dimensions

If a projectile reaches its peak in 1.2 seconds, what is the maximum height it reaches? Note: must calculate Vi first. Remember, Vf=0 at top of trajectory.

A soccer ball is kicked with a 36 degree angle and a velocity of 23 m/s. Find the horizontal component of the balls velocity.

A boy throws a stone horizontally out of the window with a velocity of 15 m/s. If the widow is 2 meters above the ground level , how long will the stone travel before it hits the ground?

A ball is kicked along a rooftop at 15 m/s and rolls off. As it is on the way to the ground below, the ball's vertiical acceleration is ---.

A person runs off a 10m cliff into the water below at a speed of 1.2m/s. What's the x - initial velocity?

A person runs off a 10m cliff into the water below at a speed of 1.2m/s. What's the y - initial velocity?

Use a formula to answer the following question:

  A ball is pushed horizontally off of a counter 1.2 m above the floor at 5 m/s.  how far from the base of the tower will the ball land?

Use a formula to answer the following question:

  A ball is pushed horizontally off of a counter 1.2 m above the floor at 5 m/s. How long will the ball be in the air?

Use a formula to answer the following question:

  A person can throw a water balloon at a velocity of 12 m/s. If they are on a tower 30 m tall, and throw the balloon horizontally,  how far from the base of the tower will the ball land?

Use a formula to answer the following question:

  A person can throw a water balloon at a velocity of 12 m/s. If they are on a tower 30 m tall, and throw the balloon horizontally, how long will the ball be in the air?

Use a formula to answer the following question:

  A ball is thrown from a tower 55 m above the ground at a horizontal velocity of 15 m/s.  How far from the base of the tower will the ball land?

Use a formula to answer the following question:

  A ball is thrown from a tower 55 m above the ground at a horizontal velocity of 15 m/s.  How long will the ball be in the air?

A projectile is fired with initial velocity vo at an angle θ with the horizontal and follows the trajectory shown above. Which of the following pairs of graphs best represents the vertical components of the velocity and acceleration. v and a, respectively, of the projectile as functions of time t?

An object is thrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the vertical displacement, velocity and acceleration?

A projectile is fired horizontally from a height of 20 meters above the ground, with an initial velocity of 7.0 m/s. How far does the projectile travel horizontally before it reaches the ground?

A student rolls a coin off of a high horizontal platform, in a projectile experiment. The coin moves 20 centimeters horizontally (while also falling down) during the 1st second of its projectile motion. How far will the coin move horizontally during the 2nd second of its projectile motion?

Two arrows are launched at the same time with the same speed. Arrow A at an angle greater than 45 degrees, and arrow B at an angle less than 45 degrees. Both land at the same spot on the ground. Which arrow arrives first?

An arrow is aimed horizontally, directly at the center of a target 20 m away. The arrow hits 0.05 m below the center of the target. Neglecting air resistance, what was the initial speed of the arrow?

Describe the velocity in this graph

Solve the problem

Which graph shows a ball being thrown in the air?

Solve the problem

Solve the problem

Solve the problem

A ball is thrown horizontally at 10 m/s. The ball hits the ground after 5s. What's the height?

A cannonball is fired at a 45.0° angle and an initial velocity of 625 f/s. Assume no air resistance. Find the horizontal coordinate of the cannonball after 2 seconds.

A soccer ball is kicked with a 36 degree angle and a velocity of 23 f/s. Find the horizontal coordinate of the ball after 1 second.

A projectile is fired with an initial velocity of 300 feet per second at an angle of 70° with the horizontal. In how many seconds will the projectile reach its maximum altitude?

A projectile is fired from a height of 9.5 feet with an initial velocity of 136 ft/sec at an angle of 55° with the horizontal. Determine the maximum height reached by the projectile. Round your answer to the nearest tenth of a foot.

A stone is thrown off a bridge 70 feet above the water at an angle of elevations of 48 $$\degree$$  with an initial velocity of 40 feet per second.  Find the maximum height of the stone.

A stone is thrown off a bridge 70 feet above the water at an angle of elevations of 48° with an initial velocity of 40 feet per second. Find the horizontal distance the stone traveled at the time it reaches the surface of the water (h = 0)

A stone is thrown off a bridge 70 feet above the water at an angle of elevations of 48 ° with an initial velocity of 40 feet per second. Find the height of the stone at the time it reaches a horizontal distance of 80 feet.

A ball rolls off a cliff with a horizontal velocity of 8.0 m/s. The cliff is 64 m high. How far from the cliff will the ball land?

Which graph best represents the ball's horizontal velocity as it travels as a projectile?

A soccer ball is kicked with a 36-degree angle and a velocity of 23 m/s. We know that the time it takes to reach the ground is twice the time it took to reach the peak. So, what is the time that the soccer ball takes to reach the ground?

A soccer ball is kicked with a 36-degree angle and a velocity of 23 m/s. What would be the time that it takes for the soccer ball to reach the peak? $$v_y=v_{oy}+a_y\cdot t$$   $$a_y=-9.8\ \frac{m}{s^2}$$   $$v_{oy}=v_o\cdot\sin\left(\theta\right)$$  

10. A soccer ball is kicked with a 36-degree angle and a velocity of 23 m/s. Find the vertical component of the ball’s velocity.

$$v_{oy}=v_o\cdot\sin\left(\theta\right)$$  

9. A soccer ball is kicked with a 36-degree angle and a velocity of 23 m/s. Find the horizontal component of the ball’s velocity. $$v_{ox}=v_o\cdot\sin\left(\theta\right)$$  

Consider a ball thrown up from the surface of the earth into the air at an angle of 30⁰ above the horizontal. Air friction is negligible. Just after the ball is released, its acceleration is:

Use the data in the image. Which statement is correct?

Poor Tugg Speedman fell out a helicopter that was moving at a horizontal speed of 80 m/s. Luckily, Tugg landed in a pool 2.5 seconds later. Assuming there was no air resistance, what was the horizontal distance between where Tugg came out of the helicopter and the pool?

Poor Tugg Speedman fell out a helicopter that was moving at a horizontal speed of 80 m/s. Luckily, Tugg landed in a pool 2.5 seconds later. What was the vertical height of the helicopter?

An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. The plane is traveling horizontally at 50 m/s at a height 125 m above the ground. Where does the package strike the ground relative to where it was released?

Valerie is standing on a ladder picking apples in her grandfather's orchard. As she pulls each apple off the tree, she tosses it into a basket that sits on the ground 3.0 m below at a horizontal distance of 2.0 m from Valerie. How fast must Valerie throw the apples (horizontally) in order for them to land in the basket?

Jack be nimble, Jack be quick, Jack jumped over the candlestick with a velocity of 5.0 m/s at an angle of 30 degrees to the horizontal. Did Jack burn his feet on the 0.30 m tall candle flame? Yes or no and how high did he jump?

A projectile is launched from a height with an initial horizontal velocity of 20 m/s. If the projectile flies for 40 seconds, what is its horizontal velocity just before it hits the ground?

The data table shows the velocity of a projectile. What value should go in box 'B'

If this velocity graph is from a projectile, what does the area of the shaded region represent?

A frisbee is thrown 3.4 m/s East. The Frisbee curves and falls down 188.356 m. How much time is the Frisbee in the air?

What acts on a projectile in the y direction that causes an object to travel in a parabolic arc?

Mark all of the following objects that are actually projectiles.

A pool ball leaves a 0.55-meter high table with an initial horizontal velocity of 2.7 m/s. Calculate the horizontal distance (x) between the table's edge and the ball's landing location.

x = v_ix•t + 0.5•a_x•t²

y = v_iy•t +0.5•a_y•t²

You kick a baby seal off a 19.6 m high hill and it lands a distance of 12.0 m from the edge of the hill. What is the vertical displacement? No math required.

You kick a baby seal off a 19.6 m high hill and it lands a distance of 12.0 m from the edge of the hill. What is the horizontal displacement? No math required.

You kick a football to the best football player of all time, Eli Manning, off a 13.5 m high hill and it lands a distance of 19.0 m from the edge of the hill. What is the vertical displacement? No math required.

You kick a football to the best football player of all time, Eli Manning, off a 13.5 m high hill and it lands a distance of 19.0 m from the edge of the hill. What is the horizontal displacement? No math required.

Treh kicks a football to the best football player of all time, Eli Manning, off a 13.5 m high hill and it lands a distance of 19.0 m from the edge of the hill. What is the flight time?

You kick a football to the best football player of all time, Eli Manning, off a 13.5 m high hill and it lands a distance of 19.0 m from the edge of the hill. What is the initial horizontal velocity? Use formula and a calculator.

A cannonball is fired with an initial velocity of 100. meters per second at an angle of 15.0° above the horizontal. What are the horizontal (vx) and vertical (vy) components of this velocity?

A ball is thrown straight upward from the surface of Earth. Which statement best describes the ball’s velocity and acceleration at the top of its flight?

How would the mass and weight of an object on the Moon compare to the mass and weight of the same object on Earth?

A projectile lands at the same height from which it was launched. Which initial velocity will result in the greatest horizontal displacement of the projectile? [Neglect friction.]

If an object is in free fall for three seconds, how fast will it be falling?

Juan is standing on the top observation deck of the Eiffel Tower in Paris at a height of 300 meters. He drops his cell phone. How fast will the phone be traveling when it hits the ground? Ignore the effect of air resistance.

8 A ball is thrown from level ground at an angle of 55° above the horizontal and lands on level ground. Neglecting friction, if the ball is thrown again at the same angle but with a larger initial speed, the ball will travel

An object is thrown vertically upward with an initial velocity of 9.81 meters per second. What is the maximum height reached by the object? [Neglect friction.]

See image for question.

Think of your PhET exploration....TOF is directly related to...

A projectile is launched from level ground with an initial vertical speed of 26 meters per second upward and an initial horizontal speed of 15 meters per second. [Neglect friction.] What is the total time the projectile is in the air before the projectile returns to the level ground?

projectile is launched from level ground with an initial vertical speed of 26 meters per second upward and an initial horizontal speed of 15 meters per second. [Neglect friction.] Determine the angle above the horizontal at which the projectile is launched.

A projectile is launched from level ground with an initial vertical speed of 26 meters per second upward and an initial horizontal speed of 15 meters per second. [Neglect friction.] Determine the total horizontal distance the projectile travels before the projectile returns to the ground.

A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters per second. What is the projectile’s horizontal speed after it has fallen 25 meters? [Neglect friction.]

The diagram below represents two horizontal platforms that are at different heights above level ground. A ball rolls off the taller platform with a horizontal speed of 15 meters per second and travels through the air, landing on the top of the shorter platform. What is the total time the ball is in the air? [Neglect friction.] See image.

A group of students constructs a catapult that launches a ball at a target placed on a lab bench. The students measure 0.80 second from the time the ball is released until it strikes the target, located a horizontal distance of 2.0 meters from the release point. The ball reaches a maximum height at point P, which is 0.78 meter above the ball’s release point. The target is at the same height as the release point. [Neglect friction.] Calculate the horizontal component of the ball’s initial velocity.

A group of students constructs a catapult that launches a ball at a target placed on a lab bench. The students measure 0.80 second from the time the ball is released until it strikes the target, located a horizontal distance of 2.0 meters from the release point. The ball reaches a maximum height at point P, which is 0.78 meter above the ball’s release point. The target is at the same height as the release point. [Neglect friction.] Calculate the vertical component of the ball’s initial velocity.