Question

A wooden boxcar is moving along a straight railroad track at
speed v1. A sniper fires a bullet (initial speed v2) at it from a highpowered
rifle. The bullet passes through both lengthwise walls of
the car, its entrance and exit holes being exactly opposite each
other as viewed from within the car. From what direction, relative
to the track, is the bullet fired? Assume that the bullet is not deflected
upon entering the car, but that its speed decreases by 20%.
Take v1 85 km/h and v2 650 m/s. (Why don’t you need to
know the width of the boxcar?)

# FIITJEE Class 10th

Answer 1

V1=85km/h=23.61m/s and

V'2=80%v2

=>0.8x650m/h

V'2=>520m/s

So, The angle is

X=cos-'[v1/v'2]

X=cos-' (23.61/520)

X=87.39°

THE ANGIE X WITH RESPECT TO THE DIRECTION IN WHICH IT IS FIRED

=>180-x

=>180-87.4 {87.39=87.4}

=>93°

Answer 2

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