The acceleration of a body in a non-uniform circular motion is $5\, ms^{-2}$. Which one of the following is correct?
The radial acceleration and the tangential accelerations are $3\, ms^{-2}$ and $4\, ms^{-2}$ respectively
The radial and the tangential accelerations are $2\, ms^{-2}$ and $3\, ms^{-2}$ respectively
The radial and the tangential accelerations are both $5\, ms^{-2}$.
The radial and the tangential acceleration are $5\, ms^{-2}$ and $3\, ms^{-2}$ respectively.
A particle starts from rest and performing circular motion of constant radius with speed given by $v = \alpha \sqrt x$ where $\alpha$ is a constant and $x$ is the distance covered. The correct graph of magnitude of its tangential acceleration $(a_t)$ and centripetal acceleration $(a_c)$ versus $t$ will be:
A particle is moving with velocity $\vec v = K(y\hat i + x\hat j)$ where $K$ is a constant. The general equation for its path is
The graph of position $x$ versus time $t$ represents the motion of a particle. If $b$ and $c$ are both positive constants, which of the following expressions best describes the acceleration $a$ of the particle?
A particle initially at rest is subjected to two forces. One is constant, the other is a retarding force proportional to the particle velocity. In the subsequent motion of the particle :
The figure shows a velocity-time graph of a particle moving along a straight line The correct acceleration-time graph of the particle is shown as