1. Velocity of bullet w.rt to train=u
Velocity of train = v
Velocity of bullet w.rt to train=Velocity of bullet w.r.t earth -Velocity of train w.r.t earth
So Velocity of bullet w.r.t earth =Velocity of bullet w.rt to train+Velocity of train w.r.t earth
$=u+v$
2. Velocity of bullet w.r.t earth =u +v
Velocity of Car w.r.t earth =w
Velocity of bullet w.rt to car=Velocity of bullet w.r.t earth -Velocity of car w.r.t earth
$=u+v-w$
3. Velocity of bullet w.rt to train= -u
Velocity of train = v
Velocity of bullet w.rt to train=Velocity of bullet w.r.t earth -Velocity of train w.r.t earth
So Velocity of bullet w.r.t earth =Velocity of bullet w.rt to train+Velocity of train w.r.t earth
$=-u+v= v-v$
4. Velocity of bullet w.rt to train=-u
Velocity of train w.r.t earth =v
velocity of car w.r.t earth =w
Velocity of bullet w.rt to car=Velocity of bullet w.r.t earth -Velocity of car w.r.t earth
$= v-u-w$
5.
Velocity of train w.r.t to driver=Velocity of train w.r.t earth -Velocity of driver w.r.t earth
so =0
6.
Given
velocity of train = 15m/s
velocity of monkey w.r.t train=-5 m/s
Now velocity of monkey w.r.t train=-velocity of train w.r.t monkey
So velocity of train w.r.t monkey = 5 m/s
7. velocity of train = 15m/s
velocity of monkey w.r.t train=-5 m/s
velocity of monkey w.r.t train = velocity of monkey with respect to ground - velocity of train
-5 =velocity of monkey with respect to ground - 15
velocity of monkey with respect to ground =10 m/s