A plank fitted with a gun is moving on a horizontal surface with speed along the…

PHYSICS · Subjective · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A plank fitted with a gun is moving on a horizontal surface with speed

4\text{ m/s}

along the positive

x

-axis. The

z

-axis is vertically upward. The mass of the plank, including the gun, is

50\text{ kg}

. When the plank reaches the origin, a shell of mass

10\text{ kg}

is fired in the

x

z

plane at an angle of

60^\circ

with the positive

x

-axis, with speed

20\text{ m/s}

relative to the gun. Find the position vector of the shell at

t=2\text{ s}

after firing. Take

g=9.8\text{ m/s}^2