The function h = -t2 + 95 models the path of a ball thrown by a boy where h represents height, in feet, and t represents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea level where h = 0 ft, which is a likely place the boy could have been standing when he threw this ball?

I bet at t=0, he was at 95 feet up

To find the likely place the boy could have been standing when he threw the ball, we need to determine the value of t when h = 0.

Given that the function h = -t^2 + 95, we can set h to 0 and solve for t:

0 = -t^2 + 95

Rearranging the equation, we get:

t^2 = 95

Taking the square root of both sides, we obtain:

t = ±√(95)

Since time cannot be negative, we can disregard the negative value. Therefore, t = √(95) ≈ 9.748.

This means that the ball was in the air for approximately 9.748 seconds. Since we are assuming the boy lives at sea level, he must have been standing on the ground when he threw the ball. So, a likely place the boy could have been standing is on flat ground, such as a field or a street.