The height above the ground in feet of a ball kicked into the air from the balcony of an apartment is -16t2+16t+32, where t is the time in seconds since the ball was kicked. How high above the ground is the balcony? A. 2 ft B. 16 ft C. 32 ft D. 36 ft

Answer 1

To find the height of the balcony from which the ball is kicked, we need to determine the height of the ball at time $t=0$. This is because the height function gives the height of the ball starting from the moment it is kicked.

The height of the ball as a function of time is given by:

$$h(t)=-16t^2+16t+32$$

At $t=0$:

$$h(0)=-16(0{)}^2+16(0)+32=32$$

So, the height of the balcony above the ground is 32 feet.

Therefore, the answer is C. 32 ft.