Question

1. A penny is dropped from the top of the empire state building. The function h(t) = -16t^2 +1250 describes the height of the penny, h, after t seconds. How many seconds does it take for

the penny to hit the ground?
Round your answer to the nearest tenth of a second.

Answer 1

Answer:
`8.83\ s`

Explanation:

Given

Height of the dropped penny is given by

`h(t)=-16t^2+1250`

When penny hit the ground,
`h(t)=0`

`\therefore -16t^2+1250=0\\\Rightarrow 16t^2=1250\\\\\Rightarrow t^2=(1250)/(16)\\\\\Rightarrow t=\sqrt{(1250)/(16)}\\\\\Rightarrow t=8.83\ s`

Thus, it takes 8.83 s to hit the ground.