A car starts from the point A. At time ts after leaving A, the distance of the car from A is s m, where s = 30t-0.4t^2, 0 ⩽t⩽ 25. The car reaches point B when t = 25.
a) Find the distance AB.
b) Show that the car travels with a constant acceleration and state the value of this acceleration.
A runner passes through B when t = 0 with an initial velocity of 2 m s−1 running directly towards A. The runner has a constant acceleration of 0.1 m s−2.
c) Find the distance from A at which the runner and the car pass one another.