Question

The height in feet of a ball dropped from a 150 ft building is given by h(t)=-16 ft^2 +150, where t is the time in seconds after the ball is dropped. find h(2) and interpret its meaning. round your answer to the nearest hundredth.

A. h(2)=86.00 means that after 2 seconds, the height of the ball is 86.00 ft.
B. h(2)=3.04 means that after 2 seconds, the height of the ball has dropped by 3.04 ft
C. h(2)= 3.04 means that after 2 seconds, the height of the ball is 3.04 ft
D. h(2)= 86.00 means that after 2 seconds, the height of the ball has dropped by 86.00 ft.

Answer 1

Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft

Explanation:

we have

`h(t)=-16t^(2)+150`

where

t ----> is the time in seconds after the ball is dropped

h(t) ----> he height in feet of a ball dropped from a 150 ft

Find h(2)

That means ----> Is the height of the ball 2 seconds after the ball is dropped

Substitute the value of t=2 sec in the equation

`h(2)=-16(2)^(2)+150=86\ ft`

therefore

After 2 seconds, the height of the ball is 86.00 ft.