Joseph jogs from one end A to the other end B of a straight $300 \mathrm{m}$ road in $2 \min 30 \mathrm{s}$ and then turns around and jogs $100 \mathrm{m}$ back to point C in another $1 \min$. What are Joseph's average speeds and velocities in jogging from end A to C? 

A car accelerates from $6 {\mathrm{ms}}^{-1}$ to $16 {\mathrm{ms}}^{-1}$ in $10 \mathrm{s}$. Calculate (i) the acceleration and (ii) the distance covered by the car in that time.

Points P, Q and R are in a vertical line such that PQ=QR. It allows a ball at P to fall freely. What is the ratio of the times of descent through PQ and QR? 

Two trains A and B of length $400 \mathrm{m}$ each are moving on two parallel tracks with a uniform speed of $72 {\mathrm{kmh}}^{-1}$ in the same direction with A head of B. The driver of B overtakes A and speeds up by $1 {\mathrm{ms}}^{-2}$. If after $50 \mathrm{s}$, the guard of B just brushes past the driver A, what was the original distance between them?  

On a two-lane road, a car A is travelling with a speed of $36 {\mathrm{kmh}}^{-1}$. Two cars B and C approach car A in opposite directions with a speed of $54 {\mathrm{kmh}}^{-1}$each. At a certain instant, when the distance AB is equal to AC, both being $1 \mathrm{km}$ B overtakes A before C does. What minimum acceleration of car B is required to avoid an accident.