Question

9. A baseball player hits a baseball into the air

with an initial velocity of 100 feet per second.
The equation h = -16t² + 100t+ 3 gives the
height of the ball after t seconds.
At what time will the baseball reach its
maximum height?

Answer 1

3.125 seconds.

Explanation:

The equation h = -16t² + 100t+ 3 gives the height of the ball after t seconds.

The maximum height is reached when the velocity is zero.

The velocity is given by v = 100t - 32t².

Setting v = 0,

we get

100t - 32t² = 0.

Factoring out t,

we get

t(100 - 32t) = 0.

Solving for t,

we get

t = 0 or t = 100/32 = 3.125 seconds.

Therefore, the baseball will reach its maximum height after 3.125 seconds.