A particle is moving eastwards with velocity of $5\,m/s$. In $10 \,sec$ the velocity changes to $5 \,m/s$ northwards. The average acceleration in this time is
Zero
$\frac{1}{{\sqrt 2 }}\,\,m{\rm{/}}{s^{\rm{2}}}$ toward north-west
$\frac{1}{{\sqrt 2 }}\,\,m{\rm{/}}{s^{\rm{2}}}$ toward north-east
$\frac{1}{2}\,\,m{\rm{/}}{s^{\rm{2}}}$toward north-west
The co-ordinates of a moving particle at a time $t$, are give by, $x = 5 sin 10 t, y = 5 cos 10t$. The speed of the particle is :
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)
A stone is tied to a string of length $L$ is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed $u.$ The magnitude of the change in its velocity as it reaches a position where the string is horizontal is