Two car travelling each other on a straight road at velocity 10m/s and 12m/s respectively . When they are 150 m apart , both drivers apply their brakes and each car decelerates at `2m/s^2` until it stops . How far apart will they be when they have both come to stop?

Two trains are travelling at 88m/s and the other at 117.3m/s are headed towards one another along a straight level track when they are 10560m apart , both engineers simultaneously see the other train and apply their brakes . If the brake deceleration each train at the rate of 3m/s_2 , determine whether they are in collision .

Light travels in two media A and B with speeds 1.8*10^8 m/s and 2.4*10^8 m/s respectively . calculate the critical angle between them.

Three molecules of gas have their velocities 1,2,3, kms^(-1) respectively. Calculate their average and r.m.s speeds.

A particle travelling along a straight line traversed one third of the total distance with velocity 4m//s . The remaining part of the distance was covered with a velocity 2m//s for half of the time and with velocity 6m//s for the other half of the time. What is the average velocity for the whole motion.

Starting from the rest , a body P travels with a uniform acceleration of 4m/s^2 and starting from rest from the same point 4s later , a body Q travels with a uniform acceleration of 16m/s_2 in the same direction as P . Find when and where they meet .

A ballon is rising with a velocity of 9.8 m/s and a bag is dropped from it when it is at a height of 39.2 m. Calculate the time taken by the bag to reach the ground.

A bus starts from rest with a constant acceleration of 5m/s^2 . At the same time , a car travelling with a constant velocity of 50m/s overtakes and passes the bus ,find (i)at what distance will the bus overtake the car ? (ii)How fast will the bus overtakes the car after distance S metres.

A motor car needs an engine of 3000 watts to keep up moving with a constant velocity of 10m// s on horizontal road. The force of friction between the car tyres and the ground is