A boy in the elevator shoots a bullet in a vertical upward direction from a height of 1.5 m above the floor of the elevator. There is no roof in the elevator. The floor of the elevator is at 50 m from ground at the instant when velocity of the elevator is 10 m/s in upward direction. The bullet strikes the floor of the elevator in 2 seconds. The initial speed of the bullet is 15 m/s relative to the elevator.
Q. Find the distance travelled by bullet during its flight:

Options

A. 32.0m
B. 30.0m
C. 50.0m
D. 35.0m

Answer

A

Explanation

The bullet is projected fromm A but it lands at B because the floor of the elecator has moved up is 2 seconds by distance.
`S_1=10t+(1)/(2)(5.75)t^2=31.50`m
Distance travelled by bullet
`=2h-(S_1-1s)`
`=2h-S_1+1.5`
`=2(31.25)-31.50+1.5=32.0`m