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The Distance–time Relationship (GCSE Physics)

The following is a GCSE Physics test covering 'The Distance–time Relationship' from the broader topic Forces. The test is geared towards the AQA exam board style syllabus.
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A cyclist travels 3 km north, then 4 km east. What is the magnitude of the resultant displacement?
A vehicle travels at 15 m/s then applies brakes producing constant deceleration of 3 m/s^2. How long until it stops?
A trolley moves at constant speed around a circular track. Which statement about forces and speed–time graph is correct?
Which equation links distance s, initial speed u, acceleration a and time t?
A sprinter covers first 30 m in 4 s and next 20 m in 2 s. Which segment shows greater average speed and what are the speeds?
A car travels at constant 54 km/h. Convert this speed to m/s (to 2 s.f.).
Two equal but opposite horizontal forces act on a box; one is 50 N left, the other 50 N right. What is the resultant force and motion?
A runner’s speed increases uniformly from 2 m/s to 8 m/s over 3 s. What distance is covered during acceleration?
A car’s speed–time profile is constant at 20 m/s for 15 s. What distance is covered?
A skateboarder starts from rest and accelerates uniformly at 2 m/s^2 for 4 s. What is their final speed?
A net force acts on a 2 kg mass producing acceleration of 3 m/s^2. If the force is doubled, what is the new acceleration?