A boy is moving with a constant speed $v$ on a small trolley towards a distant circle as shown in the figure. A point mass is moving on the circle with a constant speed $v$, what is the frequency of change in magnitude of relative velocity of the point mass, as observed by the boy.
$\frac{v}{{4R}}$
$\frac{v}{{2\pi R}}$
$\frac{v}{{4\pi R}}$
$\frac{v}{{\pi R}}$
$v-t$ graph of an object of mass $1\,\, kg$ is shown
The coordinates of a moving particle at any time $‘t’$ are given by $ x = \alpha t^3$ and $y = \beta t^3$. The speed of the particle at time $‘t’$ is given by
At a height $0.4\, m$ from the ground, the velocity of a projectile in vector form is $\vec v = \left( {6\hat i + 2\hat j} \right)\,m/{s}$. The angle of projection is ...... $^o$ $(g = 10\, m/s^2)$
Velocity-time graph for a car is semicircle as shown here. Which of the following is correct :