Question

# An impulse $$I$$ given to a body changes its velocity from $$v_{1}$$ to $$v_{2}$$. The increase in the kinetic energy of the body is given by:

A
I(v1+v2)
B
I(v1+v2)/2
C
I(v1v2)
D
I(v1v2)/2

Solution

## The correct option is A $$I(v_{1}+v_{2})/2$$Impulse, $$I=m(v_2-v_1)$$Change in $$KE=\dfrac {1}{2}m({v_2}^2-{v_1}^2)=\dfrac {1}{2}m(v_2-v_1)(v_2+v_1)=\dfrac {I(v_2+v_1)}{2}$$Physics

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