Figure shows the position of a particle moving on the $x$-axis as a function of time
The particle has come to rest $4$ times
The velocity at $t=8 \,s$ is negative
The velocity remains positive for $t=2 \,s$ to $t=6 \,s$
The particle moves with a constant velocity
A body $A$ starts from rest with an acceleration ${a_1}$. After $2$ seconds, another body $B$ starts from rest with an acceleration ${a_2}$. If they travel equal distances in the $5$th second, after the start of $A$, then the ratio ${a_1}:{a_2}$ is equal to
A body starts from rest with an acceleration $a_{1},$ after two seconds another body $B$ starts from rest with an acceleration $a _{2}$. If they travel equal distance in fifth second, after the starts of $A$, the ratio $a _{1}: a _{2}$ will be equal to
The initial velocity of a particle is $u\left(\right.$ at $t=0$ ) and the acceleration a is given by $\alpha t^{3 / 2}$. Which of the following relations is valid?
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 velocity of the bullet becomes one third after it penetrates $4\,cm$ in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at $(4+x)\,cm$ inside the block. The value of $x$ is$.....$