A cyclist is free-wheeling down a long straight hill. The times between passing successive kilometre posts are 100 seconds and 80 seconds.
A particle is moving along a straight line with constant acceleration. In an interval of T seconds it moves D metres; in the next interval of 3T seconds it moves 9D metres.
A train is slowing down with constant deceleration. It passes a signal at A, and after successive intervals of 40 seconds it passes points B and C, where AB = 1800 m and BC= 1400 m.
A roller-skater increases speed from 4 m/s to 10 ms in 10 seconds at a constant rate. (a) What is her average velocity over this period?
A motorbike and a car are waiting side by side at traffic lights. When the lights turn to green, the motorbike accelerates at 24 m s2 up to a top speed of
A car comes to a stop from a speed of 30 m s in a distance of 804 m. The driver brakes so as to produce a deceleration of m s2 to begin with,
A car rounds a bend at 10 ms^-1, and then accelerates at 1/2ms^-2 along a straight stretch of road. There is a junction 400 m from the bend.
The figure shows a map of the railway line from Aytown to City. The timetable is based on the assumption that the top speed of a train on this line is 60 km per hour
Two villages are 900 metres apart. A car leaves the first village travelling at 15 ms and accelerates atm s2 for 30 seconds.
A cyclist travels from A to B, a distance of 240 metres. He passes A at 12 m s1, maintains this speed for as long as he can
