The displacement $(x)$ - time $(t)$ graph of a particle is shown in figure. Which of the following is correct?
Particle starts with zero velocity and variable acceleration
Particle starts with non-zero velocity and variable acceleration
Particle starts with zero velocity and uniform acceleration
Particle starts with non-zero velocity and uniform acceleration
The initial velocity of a particle moving along $x$-axis is $u$ (at $t=0$ and $x=0$ ) and its acceleration $a$ is given by $a=k x$. Which of the following equation is correct between its velocity $(v)$ and position $(x)$ ?
The velocity-time graphs of a car and a scooter are shown in the figure. $(i)$ the difference between the distance travelled by the car and the scooter in $15\, s$ and $(ii)$ the time at which the car will catch up with the scooter are, respectively
The distance travelled by a particle is directly proportional to $t^{1/2}$, where $t =$ time elapsed. What is the nature of motion ?
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement