The velocity of a body at time t = 0 is 10sq | vedclass

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Question

(a) $\overrightarrow v = \overrightarrow u + \overrightarrow a \,t$

$v = \sqrt {{u^2} + {a^2}{t^2} + 2u\,at\cos 	heta } $

$v = \sqrt {200 + 100

Vedclass · Accepted Answer

$10 \,m/s$, towards east

Vedclass · Answer

(a) $\overrightarrow v = \overrightarrow u + \overrightarrow a \,t$

$v = \sqrt {{u^2} + {a^2}{t^2} + 2u\,at\cos 	heta } $

$v = \sqrt {200 + 100 + 2 	imes 10\sqrt 2 	imes 10 	imes \cos 135} $$ = 10\,m/s$

$	an \alpha = \frac{{at\sin 	heta }}{{u + at\cos 	heta }}\frac{{10\sin 135}}{{10\sqrt 2 + 10\cos 135}} = 1$

$\alpha = 45^\circ $

i.e. resultant velocity is $10\, m/s$ towards East.

The velocity of a body at time $ t = 0$ is $10\sqrt 2 \,m/s$ in the north-east direction and it is moving with an acceleration of $ 2 \,m/s^{2}$ directed towards the south. The magnitude and direction of the velocity of the body after $5\, sec$ will be

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