A particle is projected from a tower as shown in figure, then the distance from the foot of the tower where it will strike the ground will be: (take $g=10 {\mathrm{ms}}^{-2}$)

A weightless inextensible rope rest on a stationary wedge forming an angle $\alpha$ with the horizontal. One end of the rope is fixed on the wall at point $A$. A small load is attached to the rope at point $B$. The wedge starts moving to the right with a constant acceleration $a$. The acceleration of the load is give by:

If acceleration of $M$ is a then acceleration of $m$ is

If acceleration of $A$ is $2 {\mathrm{ms}}^{-2}$ towards left and acceleration of $B$ is $1 {\mathrm{ms}}^{-2}$ towards left, then acceleration of $C$ is:

A river is flowing with velocity $5 \mathrm{km} {\mathrm{hr}}^{-1}$ as shown in the figure. A boat starts from $A$ reaches the other bank by covering shortest possible distance. Velocity of boat in still water $3 \mathrm{km} {\mathrm{hr}}^{-1}$. The distance boat covers is