Question

The function h = -t^2 + 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

Plug in t = 0. This is the same as replacing every copy of 't' with '0'. After that you evaluate

h = -t^2 + 95
h = -(t)^2 + 95
h = -(0)^2 + 95
h = 0 + 95
h = 95

So when the time is t = 0 seconds, the height of the ball is 95 feet. A likely location is that the boy is on top of a very tall building (roughly 95 feet or so) when he threw this ball into the air.