Question

The function h(t) = -16t2 + 32t represents the height, in feet, of a ball t seconds after it is kicked into the air.

What is the meaning of h(2)?
A. After 2 seconds, the ball is 16 feet high.
B. After 2 seconds, the ball reaches its highest point.
C. After 2 seconds, the ball is kicked.
D. After 2 seconds, the ball hits the ground."

Answer 1

After 2 seconds, the ball hits the ground.

Step-by-step explanation:

The function h(t) = -16t2 + 32t represents the height, in feet, of a ball t seconds after it is kicked into the air. To find the meaning of h(2), we substitute t = 2 into the function:

h(2) = -16(2)2 + 32(2)
h(2) = -64 + 64
h(2) = 0 feet

Hence, the meaning of h(2) is that after 2 seconds, the ball is at a height of 0 feet. Therefore, the correct answer is option D - After 2 seconds, the ball hits the ground.