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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?

Respuesta :

MrRoyal

Answer:

4 seconds

Step-by-step explanation:

Given

[tex]h(t) = -25t + 100[/tex]

Required

Determine what time it hits the ground

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

i.e.

[tex]h(t) = 0[/tex]

Substitute 0 for h(t) in [tex]h(t) = -25t + 100[/tex]

[tex]0 = -25t + 100[/tex]

Collect Like Terms

[tex]25t = 100[/tex]

Solve for t

[tex]t = 100/25[/tex]

[tex]t = 4[/tex]

Hence, the ball will hit the ground in 4 seconds

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