M7.4.1 Calculus in kinematics for motion in a straight line Quiz: Pearson Edexcel Maths, Unit 17

The 20 questions

1. What is the rate of change of displacement with respect to time?

   • Velocity
   • Acceleration
   • Speed
   • Jerk

2. What is the time derivative of velocity?

   • Acceleration
   • Momentum
   • Displacement
   • Speed

3. What is the integral of acceleration with respect to time?

   • Displacement
   • Distance
   • Force
   • Velocity

4. What does integrating velocity with respect to time yield?

   • Speed
   • Acceleration
   • Displacement
   • Work

5. At a particle's maximum displacement, what is its velocity?

   • Undefined
   • Maximum
   • Zero
   • Negative

6. At a particle's maximum velocity, what is its acceleration?

   • Undefined
   • Zero
   • Constant
   • Maximum

7. Which calculus operation finds velocity from a displacement function?

   • Substitution
   • Integration
   • Factorisation
   • Differentiation

8. Which calculus operation finds displacement from an acceleration function?

   • Differentiation
   • Double differentiation
   • Single integration
   • Double integration

9. If s = t^3 - 6t^2, find the velocity when t = 2.

   • -8 ms^-1
   • -12 ms^-1
   • 12 ms^-1
   • 0 ms^-1

10. If v = 4t - 3, find the acceleration.

    • 0 ms^-2
    • 4t ms^-2
    • 4 ms^-2
    • -3 ms^-2

11. If s = 5t^2 + 2t, find the initial displacement at t = 0.

    • 5 m
    • 7 m
    • 2 m
    • 0 m

12. If v = 3t^2 - 4t, find the initial velocity when t = 0.

    • 3 ms^-1
    • -1 ms^-1
    • 0 ms^-1
    • -4 ms^-1

13. A particle starts at the origin with v = 2t. Find s when t = 3.

    • 6 m
    • 9 m
    • 18 m
    • 3 m

14. If a = 6t, find v given that v = 5 when t = 1.

    • 3t^2 + 2
    • 3t
    • 3t^2 + 5
    • 6t^2 + 5

15. Find the time when a particle with v = 3t^2 - 12 comes to instantaneous rest.

    • 3 s
    • 0 s
    • 2 s
    • 4 s

16. What does the constant of integration represent when integrating acceleration?

    • Constant acceleration
    • Initial velocity
    • Initial displacement
    • Final velocity

17. What does the constant of integration represent when integrating velocity?

    • Initial velocity
    • Initial displacement
    • Time offset
    • Final displacement

18. If v = (2t + 1)^2, find the acceleration when t = 1.

    • 18 ms^-2
    • 36 ms^-2
    • 9 ms^-2
    • 6 ms^-2

19. If s = sin(2t), find the acceleration when t = 0.

    • -4 ms^-2
    • 1 ms^-2
    • 2 ms^-2
    • 0 ms^-2

20. If s = e^(2t), find the velocity when t = 0.

    • 2
    • 4
    • 1
    • 0

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