1. 1
   A cyclist travels 900 m along a straight, flat road in 60 s at constant speed.

   (a)

   What is the cyclist's speed?

   [1 mark]

   • A15 m/s
   • B54 m/s
   • C0.067 m/s
   • D900 m/s

   (b)

   What additional piece of information would need to be given for the cyclist's motion to be described as a velocity rather than a speed?

   [1 mark]

   • AThe mass of the cyclist
   • BThe direction of travel
   • CThe time of day
   • DThe total distance in kilometres

   (c)

   Explain the difference between speed and velocity, referring to the cyclist's journey.

   [2 marks]

   Total for question 1: 4 marks

2. 2
   A sprinter accelerates uniformly from rest to 8 m/s in 4 s, then runs at a constant 8 m/s for 6 s, then decelerates uniformly to rest in 2 s.

   (a)

   What is the sprinter's acceleration during the first 4 s?

   [1 mark]

   • A4 m/s2
   • B8 m/s2
   • C2 m/s2
   • D32 m/s2

   (b)

   During which phase of the sprinter's run is the acceleration equal to zero?

   [1 mark]

   • AThe first 4 s, while speeding up
   • BThe acceleration is never zero
   • CThe final 2 s, while slowing down
   • DThe middle 6 s, at constant speed

   (c)

   State how the distance travelled during the middle 6 s of constant speed could be found from a speed-time graph of this motion, and calculate this distance.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A skydiver jumps from a stationary hot air balloon and falls through the air before opening her parachute, later reaching a constant terminal velocity.

   (a)

   Describe, in terms of the forces acting on her, how her acceleration changes from the moment she jumps until she reaches a constant terminal velocity, before opening her parachute.

   [3 marks]

   (b)

   The skydiver then opens her parachute. Explain what happens to her acceleration and velocity immediately after the parachute opens, and describe the new terminal velocity she eventually reaches compared with her terminal velocity before opening the parachute.

   [4 marks]

   Total for question 3: 7 marks

4. 4
   A car accelerates uniformly from 5 m/s to 25 m/s in 8 s, then travels at a constant 25 m/s for a further 10 s. Separately, a stone is dropped from rest down a deep well and takes 2.5 s to hit the water below.

   (a)

   Describe how this motion could be represented on a speed-time graph (without drawing it), and use the ideas of gradient and area to calculate the car's acceleration during the first 8 s and the total distance it travels over the full 18 s.

   [6 marks]

   (b)

   A stone is dropped from rest down a deep well and takes 2.5 s to hit the water below, and air resistance on the stone can be taken as negligible. Explain how you would use the acceleration of free fall to calculate the depth of the well and the speed of the stone just before it hits the water, and discuss why this calculation might become less accurate for a much lighter object such as a small feather dropped in the same way.

   [6 marks]

   Total for question 4: 12 marks

End of questions