Find the speed of the intersection point $O$ of the two wires if the wires starts moving perpendicular to itself with speed $v$ as shown in figure.
$v\,\, cosec(\alpha /2)$
$v \,\,cosec(\alpha )$
$v \,\,cos (\alpha /2)$
$v \,\,sec (\alpha /2)$
When the average and instantaneous accelerations are equal ?
Let $\vec v$ and $\vec a$ denote the velocity and acceleration respectively of a body in one-dimensional motion
A girl riding a bicycle with a speed of $5\,ms^{-1}$ towards north direction, observes rain falling vertically down. If she increases her speed to $10\,ms^{-1}$, rain appears to meet her at $45^o$ to the vertical. What is the speed of the rain ? In what direction does rain fall as observed by a ground based observer ?
A particle moves in the $xy$ -plane with velocity $u_x = 8t -2$ and $u_y = 2$. If it passes through the point $(14, 4)$ at $t = 2\, s$, the equation of its path is
Which two motions are considered to be combined for motion in plane ?