## Kinematics

## Question 1:

A stone is thrown upwards from the top of a cliff. After reaching its maximum height, it falls past the cliff-top and into the sea. The graph shows how the velocity v of the stone varies with time t after being thrown upwards. R and S are the magnitudes of the areas of the two triangles. What is the height of the cliff-top above the sea, in terms of S and R?

Solution:

Distance travelled by stone from top of cliff to maximum height = S

Distance travelled by stone from maximum height to the sea = R

Therefore height of the cliff-top above sea = R - S

Distance travelled by stone from top of cliff to maximum height = S

Distance travelled by stone from maximum height to the sea = R

Therefore height of the cliff-top above sea = R - S