Two seconds after projection a projectile is travelling in a direction inclined at $30^o$ to horizontal, after one more second it is travelling horizontally. What is the magnitude and direction of its velocity at initial point
$20\sqrt {3\,} \,\,m/s\,,\,\,{30^o}$
$20\sqrt {3\,} \,\,m/s\,,\,\,{60^o}$
$10\sqrt {3\,} \,\,m/s\,,\,\,{30^o}$
$10\sqrt {3\,} \,\,m/s\,,\,\,{60^o}$
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
For a particle in uniform circular motion, the acceleration $\overrightarrow{ a }$ at any point $P ( R , \theta)$ on the circular path of radius $R$ is (when $\theta$ is measured from the positive $x\,-$axis and $v$ is uniform speed)
Two cars of masses $m_1$ & $m_2$ are moving along the circular paths of radius $r_1$ & $r_2$ respectively. Their speeds are such that they complete one round in same time. The ratio of angular speeds of two cars is
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A particle is moving on a circular path of radius $r$ with uniform velocity $v$. The change in velocity when the particle moves from $P$ to $Q$ is $(\angle POQ = {40^o})$