Question 289064
A rocket is launched from atop a 115-foot cliff with an initial velocity of 133 ft/s. 
a. Substitute the values into the vertical motion formula h = –16t2 + vt + c. Let h = 0.
h(t) = -16t^2 + 133t + 115 = 0
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b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second. 
*[invoke solve_quadratic_equation -16,133,115]
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Ignore the negative value
t =~ 9.1 seconds
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This is not a rocket, rockets have thrust engines and accelerate upward.
This is just an unpowered ballistics problem.