Question 1

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation $h=-16t^2+90t$ gives the height h of the ball after t seconds.

Find the maximum height of the ball (round to the the nearest hundredth)

Accepted Answer

126.56

Question 2

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation $h=-16t^2+90t$ gives the height h of the ball after t seconds.

How many seconds will it take for the ball to reach the ground (round to the the nearest hundredth)?

Accepted Answer

5.63

Question 3

An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equations for this apple's height, h, at time, t, seconds after launch is $h=-16t^2+64t+80$ .

Find the maximum height of the apple.

Accepted Answer

144 ft

Question 4

An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equations for this apple's height, h, at time, t, seconds after launch is $h=-16t^2+64t+80$ .

How many seconds will it take for the apple to reach the ground?

Accepted Answer

5

Question 5

In science class, the students were asked to create a container to hold an egg. They would then drop this container from a window that is 25 feet above the ground. The equation of the container's pathway can be modeled by the equation $h=-16t^2+90t$ .

Find the maximum height of the container.

Accepted Answer

25

Question 6

In science class, the students were asked to create a container to hold an egg. They would then drop this container from a window that is 25 feet above the ground. The equation of the container's pathway can be modeled by the equation $h=-16t^2+90t$ .

How many seconds will it take for the container to reach the ground?

Accepted Answer

1.25 seconds

Question 7

A penny is dropped off the Empire State Building, which is 1,250 feet tall. If the penny's pathway can be modeled by the equation $h=-16t^2+90t$ , how long would it take the penny to strike a 6-foot tall person?

Accepted Answer

8.82

Question 8

Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height, h, at time, t, seconds after launch is $h=-16t^2+64t+80$ . How long will it take the fireworks to reach the ground?

Accepted Answer

5 seconds

Question 9

Eva is jumping on a trampoline. her height, h, at the time, t, can be modeled by the equation $h=-16t^2+64t+80$ . Would Eva reach a height of 14 feet?

Accepted Answer

No

Question 10

Eva is jumping on a trampoline. her height, h, at the time, t, can be modeled by the equation $h=-16t^2+64t+80$ . What is Eva's maximum height?

Accepted Answer

12.25

Question 11

An astronaut on the Moon throws a baseball upward with an initial velocity of 10 meters per second, letting go of the baseball 2 meters above the ground. The equation of the baseball pathway can be modeled by $h=-16t^2+90t$ . The same experiment is done on Earth, in which the pathway is modeled by the equation $h=-4.9t^2+10t+2$ . How much longer would the ball stay in the air on the Moon compared to on Earth?

Accepted Answer

10.48

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