A body is projected horizontally with a velocity of $4\,m / s$ from the top of a high tower. The velocity of the body after $0.7\,s$ is nearly $.....\,m/s$ (take $g=10\,m / s ^2$ )

A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb

A projectile is thrown from a point $O$ on the ground at an angle $45^{\circ}$ from the vertical and with a speed $5 \sqrt{2} m / s$. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground, $0.5 s$ after the splitting. The other part, $t$ seconds after the splitting, falls to the ground at a distance $x$ meters from the point $O$. The acceleration due to gravity $g =10 m / s ^2$.

($1$) The value of $t$ is. . . . . . 

($2$) The value of $x$ is. . . . . 

Give the answer or qution ($1$) and ($2$)

In the figure shown, velocity of the particle at $P \,(g = 10\,m/s^2)$

If the time of flight of a bullet over a horizontal range $R$ is $T\, seconds$, the inclination of the direction of projection to the horizontal is

A wheel of radius $r$ rolls without slipping with a speed $v$ on a horizontal road. When it is at a point $A$ on the road, a small jump of mud separates from the wheel at its highest point $B$ and drops at point $C$ on the road. The distance $AC$ will be