Questions

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.

a

a, c, d are true

b

both a, b are true

c

b & c are true

d

c and d are true

detailed solution

Correct option is A

a) Average velocity is given by V_{avg} = H/t = $\frac{H}{\sqrt{2H/g}}$=$\sqrt{gH/2}$

b)S_{n }= 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+1/2gt^{2}

S_{last second} = v_{lastsecond}.(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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