Vectors and scalars test questions

1

Which of the following answers contains two scalar quantities and one vector quantity?

2

A boy walks for \(5km\) along a direction \(53^{\circ}\)West of North.

Which of the following journeys would result in the same displacement?

3

During a rugby match, a spectator at A walks to C, the opposite corner of the ground, by walking from A to B to C as shown in the diagram.

Rugby pitch viewed from above. Point A is at south-west corner, point B is at north-west corner and point C is at north-east corner. Distance from A to B is 70 m, and from B to C is 160 m.

The distance from A to B is \(70m\). The distance from B to C is \(160m\). What is the final displacement of the spectator?

4

During a rugby match, a spectator at A walks to C, the opposite corner of the ground, by walking from A to B to C as shown in the diagram.

Rugby pitch viewed from above. Point A is at south-west corner, point B is at north-west corner and point C is at north-east corner. Distance from A to B is 70 m, and from B to C is 160 m.

If the spectator takes \(100 s\) to complete the walk, what is the average speed?

5

During a rugby match, a spectator at A walks to C, the opposite corner of the ground, by walking from A to B to C as shown in the diagram.

Rugby pitch viewed from above. Point A is at south-west corner, point B is at north-west corner and point C is at north-east corner. Distance from A to B is 70 m, and from B to C is 160 m.

If the spectator takes \(100 s\) to complete the walk, what is the size of the resultant velocity?

6

At lift-off, a space rocket has an engine force of \(45\, 000\: N\). The weight of the rocket is 38 000 \(N\). The resultant force on the rocket is?

A rocket with 45000N engine force acting upwards and 38000N weight acting downwards

7

A car travels \(200m\) in \(10s\). What is the average speed of the car?

8

A runner travels at a speed of \(8\,m\,s^{-1}\).

How long will it take to run one lap of a \(400m\) track?

9

A motor cyclist travelling at \(20\,m\,s^{-1}\) passes through a ‘speed detector’ on a motorway in a time of 0·15 seconds.

How far does the motor cyclist travel in this time?