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Kinematics Practice Problems with Solutions - IGCSE Year 10

IGCSE Year 10 | Physics | Kinematics
Name: _________________________ Date: _________________________ Score: _______ / 40

Speed is calculated as distance ÷ time, and velocity is distance per unit time in a given direction, so this Year 10 sheet separates the two measures of motion. Acceleration is recorded in m/s², and a = (v − u) ÷ t is given as its formula.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. Which formula is used to calculate speed?
(a) speed = distance ÷ time(b) speed = distance × time(c) speed = time ÷ distance(d) speed = acceleration × time
2. What is velocity?
(a) the distance travelled per unit time in a given direction(b) the total distance travelled(c) the rate of change of speed without direction(d) the distance divided by time with no direction
3. What is the unit of acceleration?
(a) m/s²(b) m/s(c) metre(d) newton
4. A car moves at constant speed around a roundabout. Its velocity is changing because of what?
(a) its direction is changing(b) its speed is changing(c) it is moving(d) it is about to stop
5. Which formula links initial velocity, final velocity, acceleration and time?
(a) a = (v − u) ÷ t(b) a = (v + u) ÷ t(c) a = v × t(d) a = u − v × t
6. The gradient of a distance–time graph gives which quantity?
(a) speed(b) acceleration(c) force(d) displacement

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Explain the difference between distance and displacement.
8. Define velocity.
9. Define acceleration and state its unit.
10. Give one example of a scalar quantity and one example of a vector quantity.
11. Write the equation of motion used for an object moving with constant acceleration.
12. What does the gradient of a velocity–time graph represent?
13. What does the area under a velocity–time graph represent?
14. What does a horizontal line on a velocity–time graph represent?

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. A car accelerates from rest at 2 m/s² for 5 s. Using v = u + a × t, calculate its final velocity.
16. A car travels a distance of 200 m in 10 s. Using speed = distance ÷ time, calculate its average speed.
17. A car slows from 20 m/s to rest in 4 s. Using a = (v − u) ÷ t, calculate its acceleration.
18. A ball is dropped from rest and accelerates at 4 m/s² for 3 s. Using s = u × t + ½ × a × t², calculate the distance it travels.
19. A car travels 120 km in 2 hours. Calculate its average speed in km/h.
20. A car accelerates from rest at 5 m/s² over a distance of 40 m. Using v² = u² + 2 × a × s, calculate its final velocity.

Answer Key

1. a) speed = distance ÷ time
2. a) the distance travelled per unit time in a given direction
3. a) m/s²
4. a) its direction is changing
5. a) a = (v − u) ÷ t
6. a) speed
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet

People Also Ask

How is speed calculated?

Distance ÷ time, option (a) in this worksheet (Q1).

What is velocity?

The distance travelled per unit time in a given direction, option (a) in this worksheet (Q2).

What is the acceleration formula?

a = (v − u) ÷ t, option (a) in this worksheet (Q5).

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