Lesson J5

J5 Vectors in problems: forces and kinematics Quiz: AQA Maths, Unit 10

20 questions

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Lesson J5, Vectors in problems: forces and kinematics: 20 multiple choice questions for the AQA Maths (7357), Unit 10: Vectors, written with Revision Ninja.

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The 20 questions

  1. How is the resultant of several forces acting on a particle found?

    • By averaging the forces
    • By multiplying the magnitudes of the forces
    • By vector addition of the forces, adding their components separately
    • By subtracting the smallest force from the largest

  2. What must be true of the resultant force on a particle in equilibrium?

    • It equals the particle's mass
    • It is always greater than zero
    • It equals the particle's weight
    • The resultant is zero

  3. For constant velocity v, which expression gives the position vector r at time t, starting from r0?

    • r = r0 + vt
    • r = r0 + at^2
    • r = v + r0 t
    • r = r0 t + v

  4. What is the relationship between position vector r and velocity vector v?

    • v = integral of r with respect to t
    • v = dr/dt
    • v = r/t
    • v = r t

  5. What is the vector form of Newton's second law?

    • F = m times the magnitude of a only
    • F = ma, where F and a are both vectors
    • F = m + a
    • F = a/m

  6. Forces F1 = (3, 4) N and F2 = (-1, 2) N act on a particle. What is the magnitude of the resultant force?

    • 4 N
    • 2 sqrt(10) N
    • sqrt(20) N
    • 8 N

  7. A 2 kg particle experiences a resultant force F = (6, -8) N. What is its acceleration?

    • (12, -16) m/s^2
    • (6, -8) m/s^2
    • (1.5, -2) m/s^2
    • (3, -4) m/s^2

  8. Forces (2, 1), (-3, 4) and (x, y) N are in equilibrium on a particle. What is (x, y)?

    • (1, 5)
    • (1, -5)
    • (-1, 5)
    • (5, 1)

  9. A particle has position r = (2t, t^2) m. What is its velocity at t = 3 s?

    • (6, 3) m/s
    • (2, 6) m/s
    • (6, 9) m/s
    • (2, 9) m/s

  10. A particle has position r = (t^3, 2t) m. What is its acceleration at t = 1 s?

    • (3, 2) m/s^2
    • (6, 2) m/s^2
    • (3, 0) m/s^2
    • (6, 0) m/s^2

  11. A particle has position r = (t^2, 3t) m. What is its speed at t = 2 s?

    • 5 m/s
    • 4 m/s
    • 7 m/s
    • sqrt(13) m/s

  12. For a projectile with air resistance ignored, what happens to the horizontal velocity component?

    • It decreases steadily
    • It remains constant
    • It increases with time
    • It becomes zero

  13. A particle has initial velocity (2, 0) m/s and acceleration (0, -10) m/s^2. What is its velocity after 1.5 s?

    • (2, 15) m/s
    • (2, -15) m/s
    • (3, -15) m/s
    • (2, -10) m/s

  14. A 4 kg particle is acted on by a force F = (10, -20) N. What is its acceleration?

    • (2.5, -5) m/s^2
    • (0.4, -0.8) m/s^2
    • (40, -80) m/s^2
    • (10, -20) m/s^2

  15. A 1 kg particle starts at rest at the origin under constant forces (4, 0) N and (0, 3) N. What is its position after 2 s?

    • (2, 1.5) m
    • (8, 6) m
    • (16, 12) m
    • (4, 3) m

  16. Particle A has position (3t, 0) and particle B has position (6, -6 + 3t). At what time do they collide?

    • 1 s
    • 2 s
    • 6 s
    • 3 s

  17. Forces F1 = (2, k) N and F2 = (-4, 3) N act on a particle. The resultant is parallel to i. What is k?

    • -3
    • -6
    • 3
    • 6

  18. A 3 kg particle has velocity (2, -1) m/s and a constant force (6, 0) N acts on it. What is its velocity after 2 s?

    • (6, -1) m/s
    • (2, -1) m/s
    • (8, -3) m/s
    • (4, -1) m/s

  19. A particle has velocity v = (2t - 6)i + 4j m/s. When is the x-component of velocity zero?

    • 6 s
    • 2 s
    • 3 s
    • 4 s

  20. A particle has displacement r = (3t^2 - 2)i + t^3 j m. What is the magnitude of its acceleration at t = 1 s?

    • 12 m/s^2
    • 3 sqrt(2) m/s^2
    • 6 m/s^2
    • 6 sqrt(2) m/s^2

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