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?

Question

Mathematics

Saul

10 July, 07:19

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?

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Dominique Osborne · 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.