A particle moves along a straight line with constant acceleration aaa.
The particle passes three points AAA, B B\,B and C C\,C on the line, in that order, at equal time intervals of T T\,T seconds.
The distance AB AB\,AB is p p\,p metres and the distance BC BC\,BC is q q\,q metres.
Show that a=q−pT2a = \dfrac{q - p}{T^2}a=T2q−p.
A car moves with constant acceleration along a straight road and passes three lamp posts at 4-second intervals. The distance between the first and second lamp posts is 36 metres and the distance between the second and third lamp posts is 52 metres. Find the acceleration of the car and its speed at the first lamp post.