Question

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?

Answer 1

Answer:

A building where the boy is on the 12 floor

Explanation:

The equation of the height or position takes into account the initial conditions.

So the general equation is

x(t) = at+c

When you solve with the initial conditions t=0 you will find the position at the begining, so this is c the constant.

in our initial equation we have 95 as the constant. and this is a equation to find height so the initial height is 95feets.

Now a common building has a distance of 7.5 feet between every floor.

You divide 95 by 7.5 and you will find 12.6