Question

The force of gravity on the surface of jupiter is about 2.5 times as strong as that on earth. ON jupiter, the height of a ball dropped from a 100-meter tower is given by the function h(t) = -25t +100 meters at t seconds. How many seconds will it take for the ball to hit the ground?

Answer 1

4 seconds

Explanation:

Given

`h(t) = -25t + 100`

Required

Determine what time it hits the ground

When the ball is on the ground, the height is at 0

i.e.

`h(t) = 0`

Substitute 0 for h(t) in
`h(t) = -25t + 100`

`0 = -25t + 100`

Collect Like Terms

`25t = 100`

Solve for t

`t = 100/25`

`t = 4`

Hence, the ball will hit the ground in 4 seconds