1. 1
   A delivery drone flies in a straight line from a distribution warehouse to a retail store 3600 m away, completing the journey in 120 s at a constant speed before hovering to unload its parcel.

   (a)

   Which equation is used to calculate the drone's average speed?

   [1 mark]

   • Aaverage speed = distance moved ÷ time taken
   • Baverage speed = time taken ÷ distance moved
   • Caverage speed = distance moved × time taken
   • Daverage speed = distance moved + time taken

   (b)

   On a distance–time graph for the drone's journey, which feature would indicate that the drone is travelling at a constant speed?

   [1 mark]

   • AA curved line that becomes less steep over time
   • BA curved line that becomes steeper over time
   • CA horizontal line
   • DA straight line with a constant positive gradient

   (c)

   Calculate the average speed of the drone during its journey to the retail store.

   [2 marks]

   Total for question 1: 4 marks

2. 2
   A high-speed train accelerates uniformly from rest to a velocity of 50 m/s over 25 s, then travels at this constant velocity for a further 40 s, before decelerating uniformly to rest over the final 10 s of its journey between two stations.

   (a)

   Calculate the train's acceleration during the first 25 s of its journey.

   [1 mark]

   • A1.25 m/s²
   • B0.5 m/s²
   • C2 m/s²
   • D50 m/s²

   (b)

   What is the train's acceleration during the 40 s phase when it travels at constant velocity?

   [1 mark]

   • A50 m/s²
   • B0 m/s²
   • C2 m/s²
   • DIt cannot be determined

   (c)

   Calculate the train's deceleration during the final 10 s of its journey, as it comes to rest.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   In a historical recreation of Galileo's inclined-plane experiments, a ball is released from rest and rolls down a slope. Timing marks show that after 4 seconds the ball has reached a velocity of 8 m/s, having travelled a total distance of 16 m from its starting point.

   (a)

   Determine the acceleration of the ball as it rolls down the slope.

   [3 marks]

   (b)

   Use the relationship between final speed, initial speed, acceleration and distance moved to check whether the ball's motion over the 16 m is consistent with the uniform acceleration found in part (a). Show your working and state your conclusion.

   [4 marks]

   Total for question 3: 7 marks

4. 4
   A cyclist free-wheels down a long, straight hill. Speed sensor data show the cyclist accelerates uniformly from 2 m/s to 14 m/s over the first 30 s of the descent, then rides at a constant 14 m/s for the next 20 s, before braking to a stop over the final 5 s at the bottom of the hill.

   (a)

   Describe how a velocity–time graph would represent the cyclist's motion during the three phases of the descent, and explain how the acceleration during each phase and the total distance travelled could be determined from such a graph, without calculating any specific values.

   [6 marks]

   (b)

   Calculate the total distance travelled by the cyclist during the descent, using the area between the velocity–time graph and the time axis for each of the three phases.

   [6 marks]

   Total for question 4: 12 marks

End of questions