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24 August, 14:13

A rocket is launched from atop a 105-foot cliff with an initial velocity of 156 ft/s. The height of the rocket above the ground at time t is given by h = - 16t2 + 156t + 105. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.

4.9 s

9.8 s

0.6 s

10.4 s

+2
Answers (1)
  1. 24 August, 16:42
    0
    H = - 16t2 + 156t + 105, when t = t', the time where the rocket hit the ground after it is launched, so 105 = - 16t'2 + 156t' + 105, so - 16t'2 + 156t' = 0 implies t' = 0 or - 16t' + 156 = 0, equivalent to t'=9.75, so the answer is

    b) 9.8 s
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