Lesson Q4
Q4 Calculus in kinematics Quiz: AQA Maths, Unit 12
20 questions
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Lesson Q4, Calculus in kinematics: 20 multiple choice questions for the AQA Maths (7357), Unit 12: Mechanics, written with Revision Ninja.
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The 20 questions
-
Which expression gives velocity v from displacement vector r with respect to time t?
- d^2r/dt^2
- dr/dt
- r/t
- integral of r dt
-
Which expression gives acceleration a in terms of velocity vector v and time t?
- integral of v dt
- v/t
- dv/dt
- d^2v/dt^2
-
Which expression gives displacement from velocity?
- r = integral of a dt
- r = d(v)/dt for every t
- r = integral of v dt
- r = dv/dt
-
In indefinite integration of acceleration with respect to time, what does the constant represent?
- Final velocity
- Constant acceleration
- Initial displacement
- Initial velocity
-
A particle has r = 3t^2 - 2t in metres. What is its velocity at t = 2 s?
- 14 m s^-1
- 8 m s^-1
- 10 m s^-1
- 12 m s^-1
-
For r = 3t^2 - 2t, what is the acceleration at any time t?
- 6t m s^-2
- 6 m s^-2
- 6t - 2 m s^-2
- 3 m s^-2
-
A particle has v = 4t^3 - 6t. What is its acceleration at t = 1 s?
- -2 m s^-2
- 6 m s^-2
- 18 m s^-2
- 12 m s^-2
-
A particle has v = 2t + 3 and starts at the origin. What is its displacement at t = 4 s?
- 28 m
- 14 m
- 20 m
- 40 m
-
A particle starts from rest with a = 4 - 2t. At what time is its velocity greatest?
- t = 4 s
- t = 1 s
- t = 0 s
- t = 2 s
-
A particle starts from rest with a = 4 - 2t. What is its maximum velocity?
- 2 m s^-1
- 4 m s^-1
- 0 m s^-1
- 8 m s^-1
-
A particle has v = 6 - 2t from t = 0. What is its displacement when v = 0?
- 6 m
- 3 m
- 18 m
- 9 m
-
A particle starts at the origin with u = 10 m s^-1 and a = -2 m s^-2. What total distance does it travel before stopping?
- 25 m
- 50 m
- 10 m
- 5 m
-
What is acceleration equal to as a second derivative of displacement r with respect to time t?
- dr/dt
- d^2r/dt^2
- d^2v/dt^2
- d^2r/dv^2
-
If r = 5 sin t, what is v?
- -5 cos t
- cos t / 5
- 5 cos t
- 5 sin t
-
A particle has v = 3t^2 - 12t + 9 m s^-1. At which times is it at rest?
- t = 1 and t = 2
- t = 0 and t = 4
- t = 2 only
- t = 1 and t = 3
-
A particle has v = 3t^2 - 12t + 9 m s^-1. What is its acceleration at t = 1 s?
- -3 m s^-2
- -6 m s^-2
- 6 m s^-2
- 0 m s^-2
-
A particle has v = 3t^2 - 12t + 9 m s^-1 and starts at the origin. What is its displacement from t = 0 to t = 3 s?
- 0 m
- -4 m
- 8 m
- 4 m
-
For the particle with v = 3t^2 - 12t + 9 m s^-1, what is the total distance from t = 0 to t = 3 s?
- 0 m
- 12 m
- 4 m
- 8 m
-
A particle has a = 2t - 4 m s^-2 and u = 6 m s^-1 at t = 0. What is its velocity at t = 3 s?
- -3 m s^-1
- 6 m s^-1
- 3 m s^-1
- 9 m s^-1
-
A particle has r = t^3/3 - 2t^2 + 3t. At what time is its acceleration zero?
- t = 4/3
- t = 1
- t = 2
- t = 3
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