
ACM1 General Motion Quiz
Quiz by ACMupasi
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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
4Â 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
5Â Â 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