$A$ particle moves according to the equation $x = a + bt^2$,where $a = 15 \, cm$ and $b = 3 \, cm/s^2$. What is the velocity of the particle at $t = 3 \, s$ in $cm/s$?

Which of the following curves does not represent motion in one dimension?

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:

$A$ lift is moving upwards. Its velocity-time graph is given. The distance covered by the lift is ........ $m$.

The velocity $(v)$-time $(t)$ graph for a particle moving along the $x$-axis is shown in the figure. The corresponding position $(x)$-time $(t)$ graph is best represented by:

Two small blocks slide without losing contact with the surface along two frictionless tracks $1$ and $2$,starting at the same time with the same initial speed $v$. Track $1$ is perfectly horizontal,while track $2$ has a dip in the middle,as shown in the figure. Which block reaches the finish line first? [Hint: Use velocity-time graph to solve]