The motion of objects can be analysed using equations and graphs. These tools allow other aspects of motion such as acceleration and displacement to be determined or modelled.

The three graphs below illustrate the velocity of three different objects plotted against time.

Which graph shows constant velocity then slowing down?

Graph A

Graph B

Graph C

Which graph shows constant acceleration throughout the time?

Which graph shows acceleration which decreases during the time?

Which graph shows negative acceleration at the end of the journey?

The displacement time graph below illustrates the journey of a model car which starts to move from left to right.

What is the maximum velocity of the car?

At what time does the car stop?

Two seconds

Six seconds

Nine seconds

What is the velocity of the car from nine to twelve seconds?

What is the magnitude of the acceleration of a moving object equal to?

The gradient of a displacement-time graph

The gradient of a velocity-time graph

The area below a velocity-time graph

A motorbike undergoes a constant acceleration from rest and travels a distance of 60 m in 6.0 s.

What is the acceleration of the motorbike?

A car is travelling in a straight line at . The car brakes for and the speed is reduced uniformly to . How far does the car travel in this time?

The velocity time graph represents the motion of a girl running for a bus heading north.

She runs from a standstill at O and jumps on the bus at Q.

Find the constant speed she runs at.

Find the distance she runs.

Find the acceleration of the bus.