A car travels 90 meters due north. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

A resultant vector is

If two vectors to be added are at right angles, you will need to

What are the vector components?

What are the vector components?

Let u = <5, 2> and v = <1, -1>.

Find u + v.

Given u = <3, 7> and v =<-5, 4>, find -u + v.

What is the resultant of the two vectors shown above?

What vector gives the sum of these two vectors?

At what point is v_y= 0 m/s?

At what point is v_x= 0 m/s?

Which vector pair (arrow pair) correctly represents the acceleration and velocity at point P?

Who do you agree with?

Suppose Lemming A runs off the edge of the cliff at 2 m/s and Lemming B runs off the edge at 1 m/s. Which will hit the ground first?

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?

If a ball thrown straight up into the air takes 4 seconds to reach the top (peak), how long will it take to travel from the peak back to the original position?

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

Once a projectile is launched, what is the only force that affects its motion?

Which of the following would NOT be considered a projectile?

Victor Velocity is standing on top of the roof of his house, firing stones with his slingshot over a level field. He is aiming straight outward, horizontally. If Victor pulls back harder on the sling to shoot a stone, which of the following quantities will be changed?

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 displacement between where Tugg came out of the helicopter and the pool?

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?

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?

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

A projectile is fired with initial velocity v_o at an angle θ₀ 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?

In the diagram, which letter represents the magnitude of the horizontal displacement $$d_x^{ }$$  ?

In the diagram, which letter represents the magnitude of the vertical displacement $$d_y^{ }$$  ?

A volleyball is served at a speed of 8.0 m/s at an angle 35° above the horizontal. What is the speed of the ball when received by the opponent at the same height?

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. How do the speeds of the ball at the three points compare?

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 magnitude of the vertical displacement? No math required.

A horizontally-launched projectile arcs out and hits the ground below. The vertical displacement and the horizontal displacement are the only variables measured. What is the best equation (written in general form) to use to find the time the projectile was in the air?