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Read the following statements and choose the correct answer.
a) For a freely falling body the average velocity is proportional to square root of height of fall.
b) For a freely falling body the displacements in successive equal time intervals are in the ratio 1:4:9: .....
c) For a vertically projected body the displacement during last second of time of flight changes with velocity of projection.
d) For a body projected from the top of the tower the displacement of the body is negative when the body crosses the point of projection.

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a
a, c, d are true
b
both a, b are true
c
b & c are true
d
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detailed solution

Correct option is A

a) Average velocity is given by Vavg = H/t = H2H/g=gH/2

b)Sn = g(n-1/2). Thus, ratio of successive intervals will be 1:3:5...

c)Displacement for last second of time of flight for a vertically projected body is given by 

    S = ut+1/2gt2

     Slast second = vlastsecond.(2u/g-1) + 1/2g(2u/g - 1)2

       Thus, displacement varies with the velocity of projection.

d) For a body projected from the top of the tower will be moving downwards when it crosses the point again. Therefore displacement is negative.

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