Problem

A car accelerating at the rate of

2 \text{ m/s}^2

from rest from origin is carrying a man at the rear end who has a gun in his hand. The car is always moving along positive

x

-axis. At

t = 4 \text{ s}

, the man fires a bullet from the gun and the bullet hits a bird at

t = 8 \text{ s}

. The bird has a position vector

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

. Find velocity of projection of the bullet. Take the

y

-axis in the horizontal plane. (

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

)