SOLUTION: Please solve the problem, if possible step by step A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula h = 735 - 4.9t^2, with

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Question 87236: Please solve the problem, if possible step by step
A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula h = 735 - 4.9t^2, with t in seconds. How many seconds will it take for the rock to hit the ground (h = 0)?
Question 10 answers
8.3 sec
3.9 sec
1102.5 sec
8.6 sec

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given h%28t%29+=+73.5-4.9t%5E2 where 73.5 meters is the initial height of the rock, how long before it hits the ground?
Set h(t) = 0 and solve for t.
73.5-4.9t%5E2+=+0 Add 4.9t%5E2 to both sides.
73.5+=+4.9t%5E2 Divide both sides by 4.9
15+=+t%5E2 Now take the square root of both sides.
t+=+3.873seconds.
The best choice of answers is:
3.9 seconds.