PhysicsA car falls off a ledge and drops to the ground in 0.5 s. Let g = 10 ms-2. What is its speed on striking the ground and its average speed, how high is the ledge from the ground?

A car falls off a ledge and drops to the ground in 0.5 s. Let g = 10 ms-2. What is its speed on striking the ground and its average speed, how high is the ledge from the ground?


  1. A
    2.0 ms-1, 1.5 ms-1 and 0.85 m
  2. B
    5.0 ms-1, 2.5 ms-1 and 1.25 m
  3. C
    7.0 ms-1, 3.5 ms-1 and 2.35 m
  4. D
    8.0 ms-1, 2.5 ms-1 and 2.25 m 

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    Solution:

    Given that, Acceleration, a = g = 10 ms-2
    Time of fall, t = 0.5 s
    Let, initial velocity, u = 0
    Now, Speed on striking the ground, v = u+at=0+10 ×0.5=5.0 ms-1
    Then, Average speed, vav = u+v2 = 0+5.02 = 2.5 ms-1
    Hence, Height of the ledge, h = u t +12at2 =
    ⸫ h = 0 × 0.5+12×10 ×(0.5)2 = 1.25 m
    So, the speed on striking the ground is 5.0 ms-1, average speed is 2.5 ms-1 and the height of the ledge from the ground is 1.25 m.
     
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