A rifle with muzzle velocity of $1500 \mathrm{m} {\mathrm{s}}^{-1}$ shoots a bullet at a small target $150 \mathrm{m}$ away. How high above the target must the rifle be aimed, so that bullet hits the target? (Take $g=9.8 \mathrm{m} {\mathrm{s}}^{-2}$)

Which one of the following characteristics of the particle does the shaded area of the velocity-time graph shown below represent?

The motion of the car along a straight path is shown in the above figure. The car starts from $O$ and reaches at point $C$, back to point $A$. The distance and the magnitude of the displacement are, respectively.

Which one among the following situation is best represented by the velocity–time graph shown alongside?

Which statement is true for a shown graph?

Select the incorrect statement using the codes given below:

I. Power is a vector quantity.

II. Acceleration is a vector quantity.

III. An object resists the change in state of rest.