The distance described during the last half second of upward motion, of a body projected vertically upward is

# The distance described during the last half second of upward motion, of a body projected vertically upward is

1. A

Dependent upon the velocity of projection

2. B

Dependent upon the time taken to reach maximum height

3. C

Always constant

4. D

Dependent upon mass of the body

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### Solution:

Consider a body which is projected vertically up with an initial velocity = u

$a=-g$

Let the time ascent = t

i.e. the height ascended in last 1/2s = height ascended in

$⇒\frac{{\mathrm{u}}^{2}}{\mathrm{g}}-\frac{{\mathrm{u}}^{2}}{2\mathrm{g}}-\frac{{\mathrm{u}}^{2}}{\mathrm{g}}+\frac{\mathrm{u}}{2}-\frac{{\mathrm{u}}^{2}}{2\mathrm{g}}-\frac{\mathrm{u}}{2}+\frac{\mathrm{g}}{8}$

We get this value is independent of velocity of projection and time of ascent and mass of the body it is always constant.

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