Quadratic Applications Lesson

Multiple Choice

Which one are we looking for?

Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Isabella wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Darrell is trying to find out how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Matias is wondering how long it will take a football to hit the ground after throwing it at practice.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

At ball thrown in the air took 1 second to get to its highest point. What was the height?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

The maximum height of a basketball thrown from half court was 21 feet. How long did it take to get there?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Jaiden wanted to know the initial height of a baseball when it was hit at home plate.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Freddie jumped off of a diving board. How far below the water did he go?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Hailee bungee jumped off a platform by first jumping into the air, then falling downward. How high was the platform?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

A rubber ball was thrown into the air, then hit the ground causing it to bounce. How long did it take to hit the ground?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

Multiple Choice

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Multiple Choice

An object in launched directly upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. What is the initial velocity the object is launched at?

• 64 feet

• 80 feet

• 16 feet

• -16 feet

Multiple Choice

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec

Multiple Choice

If path of a projectile is modeled by: 
h(t) = -16t² + 20t +6, what is the height after 1 second? 

• 6 feet 
• 20 feet 
• 10 feet 
• 4 feet 

Multiple Choice

Suppose the path of an object that has been thrown is represented by $$\left(t-4\right)\left(t+2\right)=0$$ . How long did it take for the object to hit the ground?

• 4 seconds

• -2 seconds

• -2 and 4 seconds

Multiple Choice

The parabola shows the trajectory of a tennis ball that was hit with a tennis racket. How long di it take for the tennis ball to hit the ground? (Click the picture to enlarge it)

• 3 feet

• 12 feet

• 1.5 seconds

• 3 seconds

Multiple Choice

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec

Multiple Choice

If I want to see the initial height of an object, I should _____________.

• Substitute x = 0 into the equation and evaluate.
• Use x = (-b /2a) as my answer.
• Find the y-coordinate of the vertex. 
• Set my equation = 0 and solve.

Multiple Choice

If I want to find out when an object hits the ground, I should _________.

• Use x = (-b/2a) as my answer.
• Set my equation = 0 and solve.
• Replace x with 0 and evaluate.
• Find the y-coordinate of the vertex.

Multiple Choice

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds
• 64 seconds
• 960 seconds
• 2 seconds

Multiple Choice

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

Multiple Choice

Fireworks are fired from the roof of a 100-foot building. The equation

h(t) = -16t² +84t + 100

models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Multiple Choice

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t² + 64t + 80.
What will be the object's maximum height? 

• 2 ft
• 80 ft
• 144 ft
• 64 ft