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A freely falling body covers half of its distance in the last 1 second of its journey. then find the total time taken to reach the ground

Asked by Akshit Srivastava 16th October 2013, 9:23 AM
Answered by Expert
Answer:
A body is falling freely. Thus, u = 0 m/s, g = 10 m/s2.
Let the total time to hit the ground be t.
Let the distance from top to ground be h
 
Thus, we have
 
h = ut + gt2 = gt2                  ...... (1)
 
Now, half distance is covered in last 1 second. Hence, first half distance is covered in (t -1) seconds.
 
Thus, distance from top to half way is given as
 
h/2 = g(t-1)2
h = g(t-1)2                                 ...... (2)
 
Equating equations 1 and 2, we get
 
Answered by Expert 17th October 2013, 9:40 AM
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