Question

a penny is dropped from the top of the statue of liberty which is 305 feet tall . the height of the penny, (h,) at time (t) seconds can be repesented by the equation h(t) = -16t^2 + 305. After 4 seconds how much further does the penny need to travel before it hits the ground.

Answer 1

Answer: Penny need to travel 49 feet before it hits the ground.

Step-by-step explanation:

Since we have given that

$h(t)=-16t^2+305$

Here, h denotes the height of the penny

t denotes the time in seconds.

Now, t = 4 seconds

So, the penny needs to travel before it hits the ground is given by

$h(4)=-16(4)^2+305\\\\h(4)=-16\times 16+305\\\\h(4)=256-+305\\\\h(4)=49\ feet$

Hence, Penny need to travel 49 feet before it hits the ground.