1 A train runs along a level track at a velocity of 5 m s−¹.

The driver presses the accelerator, causing the train to accelerate at 2 m s−².

Themotion of the train is defined by the equation s = ut + ½at²where: s is displacement (the distance travelled) (m) u isinitial velocity (m s⁻¹) t is time (s) a isacceleration (m s−²).

Calculate the time thetrain takes to travel a distance of 6 m

2 A ball is thrown vertically upwards with an initial velocity of 16 m s−1. The height reached by the ball is given by the equation h = ut − ½ gt²where: h is the vertical height (m) u is the initial vertical velocity (m s⁻¹) t is time (s) g is the gravitational field strength (9.81 m s−²) Calculate the values of t at which the height of the ball is 6 m above the point where it was released.

3 A ball at the end of a string is revolving uniformly in a horizontal circle of radius 2metres at constant angular speed 10 rad/s. Determine the magnitude of the linear velocity of a point located :

•     0.5 metres from the centre

4 A ball at the end of a string is revolving uniformly in a horizontal circle of radius 2metres at constant angular speed 10 rad/s. Determine the magnitude of the linear velocity of a point located :

•    1 metre from the centre

5  A ball at the end of a string is revolving uniformly in a horizontal circle of radius 2 metres at constant angular speed10 rad/s. Determine the magnitude of the linear velocity of a point located :

•    2 metres from the centre