The gradient of a displacement–time graph gives velocity and the gradient of a velocity–time graph gives acceleration, so this Year 11 sheet opens by reading motion from the two graphs. Distance travelled and a constant-speed answer appear in the key.
Key Takeaways
The gradient of a displacement–time graph is velocity (Q1).
The gradient of a velocity–time graph is acceleration (Q2).
Q3 records the distance travelled under a velocity–time graph.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The gradient of a displacement–time graph gives which quantity?
(a) velocity(b) acceleration(c) force(d) distance
2.The gradient of a velocity–time graph gives which quantity?
(a) acceleration(b) displacement(c) the speed of light(d) momentum
3.The area under a velocity–time graph gives which quantity?
(a) the distance travelled(b) the acceleration(c) the force(d) the change in speed
4.Ignoring air resistance, the horizontal velocity of a projectile does what?
(a) stays constant(b) increases steadily(c) decreases steadily(d) is zero
5.Ignoring air resistance, the acceleration of a projectile in free fall is what?
6.At the very top of its flight, the vertical velocity of a projectile is what?
(a) zero(b) 10 m/s(c) at its maximum value(d) impossible to find
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.What does the gradient of a distance–time graph represent?
8.What does the gradient of a velocity–time graph represent?
9.What does the area under a velocity–time graph represent?
10.What shape is the path of a projectile, ignoring air resistance?
11.Why does the horizontal velocity of a projectile stay constant (ignoring air resistance)?
12.What value is used for g when solving projectile questions in this course?
13.How would you find the acceleration from a velocity–time graph?
14.What is the vertical velocity of a projectile at its highest point?
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A stone is dropped from rest. Using v = g × t with g = 10 m/s², calculate its velocity after 3 s.
16.A stone is dropped from rest and falls for 3 s. Using s = ½ × g × t² with g = 10 m/s², calculate the distance it falls.
17.A ball is thrown vertically upwards at 20 m/s. Using t = v ÷ g with g = 10 m/s², calculate the time it takes to reach the top of its flight.
18.A ball is thrown horizontally at 30 m/s from a height of 20 m. Using t = √(2 × h ÷ g) with g = 10 m/s², calculate the time it takes to reach the ground.
19.A car accelerates uniformly from 5 m/s at 2 m/s² for 6 s. Using v = u + a × t, calculate its final velocity.
20.A ball is dropped from rest from a height of 80 m. Using t = √(2 × h ÷ g) with g = 10 m/s², calculate the time it takes to reach the ground.
Answer Key
1. a) velocity
2. a) acceleration
3. a) the distance travelled
4. a) stays constant
5. a) 10 m/s² downwards
6. a) zero
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.
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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
What does the gradient of a displacement–time graph give?
Velocity, option (a) in this worksheet (Q1).
What does the gradient of a velocity–time graph give?
Acceleration, option (a) in this worksheet (Q2).
What does the area under a velocity–time graph give?
The distance travelled, option (a) in this worksheet (Q3).
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