SOLUTION: A rocket is launched from atop a 102-foot cliff with an initial velocity of 158 ft/s. Substitute the values into the vertical motion formula h = -16t<sup>2</sup> + vt + c. Let h =

Question 138056This question is from textbook Algebra 1
: A rocket is launched from atop a 102-foot cliff with an initial velocity of 158 ft/s. Substitute the values into the vertical motion formula h = -16t² + vt + c. Let h = 0. Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
This question is from textbook Algebra 1

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rocket is launched from atop a 102-foot cliff with an initial velocity of 158
ft/s. Substitute the values into the vertical motion formula
h = -16t2 + vt + c. Let h = 0. Use the quadratic formula to find out how long
after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
:
Using the values given, the equation will be:
-16t^2 + 158t + 102 = 0
:
the quadratic formula:

In this problem a = -16; b=158; c=102

;

:
You can do the math here, you should get a positive solution of t = 10.483 sec
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