A particle is moving in a circular path and its acceleration vector is making an angle of $30°$ with the velocity vector, then the ratio of centripetal acceleration to its tangential acceleration is

The velocity-time graph of a particle moving along a straight line is as shown in the diagram. The rate of acceleration and retardation is constant and is equal to $5\hspace{0.17em}\mathrm{m} {\mathrm{s}}^{-2}$. If the average velocity during the motion is $\mathrm{20\hspace{0.17em}}\mathrm{m} {\mathrm{s}}^{-1},$ then the maximum velocity of the particle is

The figure shows the acceleration-time graph of a particle. Which of the following represents the corresponding velocity-time graph? ( consider initial velocity is zero )

The velocity-time graph of a body moving in a straight line is shown. The displacement of the body in $10 \mathrm{s}$ is 

In the following velocity-time graph of a body, the distance travelled by the body and its displacement during $5 \mathrm{s}$ (in metres) will respectively be

The graph shows the variation of velocity of a rocket with time. Then, the maximum height attained by the rocket is