A boy projects a stone vertically perpendicular to the trolley car with a speed $v$. If the trolley car moves with a constant velocity $u$, the time of flight of the stone is:

Q. A boy projects a stone vertically perpendicular to the trolley car with a speed $v$. If the trolley car moves with a constant velocity $u$. The angle of projection relative to horizontal is:

Q. A particle is projected from a trolley car with a velocity $\overrightarrow{v}$ If the trolley car moves with an acceleration $\overrightarrow{a}$ towards right, which of the following remain unchanged relative to both ground and trolley car?

Q. A shell is projected. from a gun with a muzzle velocity, $u$. The gun is fitted with a trolley car at an angle $\theta$ as shown in Figure. If the trolley car is made to move with constant velocity $v$ towards right. find the
a. horizontal range of the shell relative to ground.
b. horizontal range of the shell relative to a person travelling with trolley.

Q.

A shell is projected from a gun with muzzle velocity $u$. The gun is fitted with a trolley car at an angle $\theta$ as shown in the fig. If the trolley car is made to move with constant velocity $v$ towards right, find the

(i) horizontal range of the shell relative to ground.

(ii) horizontal range of the shell relative to a person travelling with trolley.

Q. A boy of mass m boards s trolley of mass 2m moving with a constant speed u along a horizontal track. Neglecting friction, if the boy jumps vertically up with respect to trolley to catch hold of a branch of a three, the speed of the trolley after the body has jumped off is :