3. Physics students were modeling the height of a ball once it was dropped from the roof of a 25 story
building. The students found that the height in feet, h, of the ball above the ground as a function of the
number of seconds, i, since it was dropped was given by h(t)= 300 - 1612.
From what height was the ball dropped?
To the nearest tenth of a second, determine the time at
which the ball hits the ground. Provide evidence from a
table to support your answer or solve this algebraically
if you recall how to.

Respuesta :

It will take 4.3 seconds for the ball to hit the ground

Given the eqation of the height at which the object dropped expressed as

h(t) = 300 - 16t²

The object will hit the ground at when h(t) = 0

Substitute h(t) = 0 into the expression to have;

0 = 300 - 16t²

16t² = 300

t² = 300/16

t² = 18.75

t = 4.33sec

This shows that it will take 4.3 seconds for the ball to hit the ground

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