A car accelerating at the rate of from rest at the origin carries a man at its rear…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A car accelerating at the rate of

2\text{ m s}^{-2}

from rest at the origin carries a man at its rear end who has a gun. The car always moves along the positive

x

-axis. At

t=4\text{ s}

, the man fires a bullet, which hits a bird at

t=8\text{ s}

. The bird has position vector

40\hat{i}+80\hat{j}+40\hat{k}

. Find the velocity of projection of the bullet. Take the

y

-axis in the horizontal plane. Use

g=10\text{ m s}^{-2}