1An aeroplane taking off from Tribhuvan International Airport starts from rest, rolls north along the runway with a uniform acceleration of 0.75 m/s², and leaves the ground after 40 s. Calculate its velocity just before it leaves the ground.
2On a straight stretch of highway a motorcycle starts from rest, travels 400 m east with a uniform acceleration of 0.5 m/s², and then the rider brakes. The speed falls uniformly for 4 s with a retardation of 6 m/s². Calculate the displacement from the starting point.
3Starting from the definition of acceleration, derive the equation v = u + at.
4Show how the equation v² = u² + 2as is derived.
5Why do we write a = g and s = h in the equations of motion for a freely falling object?
6A bus moving at 20 m/s brakes and slows uniformly, stopping in 5 s. Find its retardation and the distance it covers before stopping.
7A stone is dropped from rest from the roof of a tall building and strikes the ground after 3 s. Find the height of the building and the stone's velocity on striking the ground. (g = 9.8 m/s²)
8A problem gives u, a and s and asks for v. Which equation should be chosen, and why?