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A body thrown vertically upwards rises to a height of $10 m$ . Calculate the velocity with which the body was thrown upwards.

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19 m / s

14 m / s

22 m / s

12 m / s

answer is B.

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Detailed Solution

The velocity with which the body was thrown upwards is

14 m / s

.
Initial velocity of the body,

= u

Maximum height reached by the body,

h = 10 m

Final velocity,

v = 0 m / s

(as it stops after reaching the maximum height)
Acceleration due to gravity

g = - 9.8 m / s^{2}

(As the body is thrown upwards and acceleration is working downwards)
We know the equation of the motion for a freely falling body

v^{2} = u^{2} + 2 gh

Putting the known values in the above equation, we get

(0)^{2} = u^{2} + 2 \times (- 9.8) \times (10)

- u^{2} = - 196

\Rightarrow

u^{2} = 196

\Rightarrow

u = \sqrt{196}

\Rightarrow

u = 14 m / s

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