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.
What is a conical pendulum? Show that its time period is given by , where is the length of the string, is the angle that the string makes with the vertical and is the acceleration due to gravity.
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?