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A rock is thrown upward with a velocity of 22 meters per second from the top of a 23 meter high cliff, and it misses the cliff on the way back down. When will the rock be 10 meters from ground level?

 Feb 12, 2020
 #1
avatar+11731 
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A rock is thrown upward with a velocity of 22 meters per second from the top of a 23 meter high cliff, and it misses the cliff on the way back down. When will the rock be 10 meters from ground level?

laugh

 Feb 12, 2020
 #2
avatar+22108 
+2

xf   =  x0   + vo t   + 1/2 a t^2      xf = 10 m      x0 = 23 m     vo = 22 m/s     a = - 9.9 m/s^2

10 =   23   + 22 t   - 4.9  t^2

0 =   - 4.9t2 + 22t + 13      Use quadratic formula to find t = 5.02 s   and  - .529 s  (throw out)

 Feb 12, 2020

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