3.02e Constant acceleration in two dimensions Quiz: OCR Maths, Unit 17

The 20 questions

1. What vector equation links initial velocity u, acceleration a, time t, and final velocity v?

   • v = u + 1/2at
   • v = ut + at
   • v^2 = u^2 + 2as
   • v = u + at

2. What vector equation gives displacement r from initial velocity u, acceleration a, and time t?

   • r = u + at^2
   • r = ut + 1/2at^2
   • r = ut + at^2
   • r = 1/2ut + at^2

3. A particle has u = (2i + 3j) ms^-1 and a = (i - j) ms^-2. What is v at t = 2 s?

   • 4i + 5j
   • 2i - 2j
   • 4i + j
   • 3i + 2j

4. An object has u = 0 and a = (3i + 4j) ms^-2. What is displacement at t = 2 s?

   • 6i + 4j
   • 12i + 16j
   • 6i + 8j
   • 3i + 4j

5. If a particle has velocity vector v = (3i + 4j) ms^-1, what is its speed?

   • 7 ms^-1
   • 25 ms^-1
   • 1 ms^-1
   • 5 ms^-1

6. A particle has position vector r = (5i - 2j) m. What is its distance from the origin?

   • 21 m
   • sqrt(29) m
   • 3 m
   • 7 m

7. Under constant 2D acceleration, which vector quantity remains constant throughout motion?

   • Acceleration
   • Velocity
   • Speed
   • Displacement

8. A particle with u = (i + j) ms^-1 reaches v = (5i - 3j) ms^-1 in 2 s. What is acceleration a?

   • 6i - 2j
   • 3i - j
   • 4i - 4j
   • 2i - 2j

9. Which expression calculates average velocity over time interval t with initial u and final v?

   • u + v
   • 1/2(u + v)
   • 1/2(v - u)
   • u - v

10. If acceleration is perpendicular to velocity at an instant, what is happening to speed?

    • Speed is maximum
    • Speed is zero
    • Speed is increasing
    • Speed is minimum

11. A mass has u = 3i ms^-1 and a = 2j ms^-2. What is its speed at t = 2 s?

    • sqrt(13) ms^-1
    • 5 ms^-1
    • 4 ms^-1
    • 7 ms^-1

12. If displacement vector r = (8i + 6j) m, what is the bearing of the displacement vector?

    • 143 degrees
    • 053 degrees
    • 127 degrees
    • 037 degrees

13. A particle moves from (i + 2j) m to (4i + 6j) m. What is its displacement vector?

    • 5i + 8j
    • 4i + 12j
    • 3i + 4j
    • -3i - 4j

14. An object with initial position r0 moves with constant velocity v. What is position vector r at time t?

    • r0 + 1/2vt
    • vt - r0
    • r0 + vt
    • r0 - vt

15. A particle has velocity (3i + 4j) ms^-1. What is its direction angle north of east?

    • 36.9 degrees
    • 45.0 degrees
    • 60.0 degrees
    • 53.1 degrees

16. A projectile's acceleration vector near Earth's surface in standard vertical (i, j) coordinates is what?

    • gi - gj
    • -gi
    • gj
    • -gj

17. A particle has u = (4i - 2j) ms^-1 and a = (2i + 2j) ms^-2. When is j-component of velocity zero?

    • 2 s
    • 1 s
    • 4 s
    • 0.5 s

18. Two objects have positions r1 = (ti + 2tj) and r2 = (3i + j). At what t do they intersect?

    • t = 3 s
    • t = 1 s
    • t = 0.5 s
    • No intersection

19. With acceleration a = (i + 3j) ms^-2 from rest, what is the ratio of x-displacement to y-displacement?

    • 9 to 1
    • 3 to 1
    • 1 to 3
    • 1 to 9

20. If u = (6i + 8j) ms^-1 and a = (-i - j) ms^-2, at what time is the particle moving due north?

    • 14 s
    • 2 s
    • 6 s
    • 8 s

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