Derive equations of motion for a particle moving in a plane and show that the motion can be resolved in two independent motions in mutually perpendicular directions.
Derive the formula for the range and maximum height achieved by a projectile thrown from the origin with initial velocity at an angel to the horizontal.
An airoplane has a run of to takeoff from the runway. It starts from rest and moves with constant acceleration to cover the runway in . What is the velocity of the airoplane at the takeoff?
A car moving along a straight road with a speed of , is brought to rest by applying brakes. The car covers a distance of before it stops. Calculate (i) the average retardation of the car (ii) time taken by the car to come to rest.