Lesson 1.10h
1.10h Vectors in forces and kinematics Quiz: OCR Maths, Unit 10
20 questions
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Lesson 1.10h, Vectors in forces and kinematics: 20 multiple choice questions for the OCR Maths (H240), Unit 10: Vectors, written with Revision Ninja.
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The 20 questions
-
Which SUVAT equation in vector form directly links final velocity, initial velocity, acceleration, and time?
- r = ut + 0.5at^2
- v^2 = u^2 + 2as
- v = u + at
- r = vt - 0.5at^2
-
What scalar quantity is equal to the magnitude of a velocity vector?
- Distance
- Acceleration
- Speed
- Displacement
-
A force of (3i + 4j) N acts on a 2 kg mass. What is the acceleration vector?
- (5i + 2j) ms^-2
- (1.5i + 2j) ms^-2
- (3i + 4j) ms^-2
- (6i + 8j) ms^-2
-
What is the magnitude of the displacement vector (6i - 8j) m?
- 14 m
- 10 m
- 2 m
- 100 m
-
A particle has initial position vector (2i + j) m and velocity (3i - j) ms^-1. Find its position at t = 2 s.
- (6i - 2j) m
- (5i + 0j) m
- (8i + j) m
- (8i - j) m
-
Two forces (2i + 5j) N and (i - 2j) N act on an object. What is the resultant force?
- (2i - 10j) N
- (i + 7j) N
- (3i + 3j) N
- (3i + 7j) N
-
If a system of forces acting on a particle is in equilibrium, what is the resultant force?
- Scalar constant
- Velocity vector
- Zero vector
- Unit vector
-
What vector equation gives position vector r under constant acceleration a from initial position r0?
- r = r0 + vt
- r = ut + 0.5at^2
- r = r0 + ut + 0.5at^2
- r = r0 + vt + 0.5at^2
-
A body of mass 5 kg accelerates at (2i - 3j) ms^-2. What is the magnitude of the resultant force?
- 5.0 N
- 13.0 N
- 18.0 N
- 25.0 N
-
A particle moves with constant velocity (4i + 3j) ms^-1. What is the total distance moved in 5 seconds?
- 20 m
- 25 m
- 35 m
- 5 m
-
What is the unit vector in the direction of the vector (3i + 4j)?
- 0.8i + 0.6j
- 0.6i + 0.8j
- 3i + 4j
- 5i + 5j
-
An object moves from position (i + 2j) m to (4i + 6j) m. What is its displacement vector?
- (4i + 12j) m
- (3i + 4j) m
- (-3i - 4j) m
- (5i + 8j) m
-
A particle of mass 2 kg is in equilibrium under forces (4i - 2j) N and F. What is F?
- (4i - 2j) N
- (-2i + j) N
- (2i - j) N
- (-4i + 2j) N
-
Acceleration vector a is constant. Which vector quantity is obtained by integrating a with respect to time?
- Position vector
- Displacement vector
- Force vector
- Velocity vector
-
A particle starts from rest at the origin with acceleration (i + 2j) ms^-2. Find velocity at t = 4 s.
- (8i + 16j) ms^-1
- (4i + 8j) ms^-1
- (i + 2j) ms^-1
- (2i + 4j) ms^-1
-
What angle does the velocity vector (3i + 3j) ms^-1 make with the positive x-axis?
- 90 degrees
- 30 degrees
- 60 degrees
- 45 degrees
-
A constant force (6i - 8j) N acts on a 2 kg mass initially at rest. Find speed after 3 s.
- 30 ms^-1
- 15 ms^-1
- 5 ms^-1
- 10 ms^-1
-
In vector kinematics, what mathematical operation on a displacement vector with respect to time yields velocity?
- Cross product
- Dot product
- Integration
- Differentiation
-
Three forces (i + 3j) N, (2i - j) N, and F keep a particle in equilibrium. What is force F?
- (3i - 2j) N
- (3i + 2j) N
- (-3i - 2j) N
- (-3i + 2j) N
-
A particle has displacement s = (t^2 i + 3t j) m. What is its acceleration vector?
- (2i + 3j) ms^-2
- (4i) ms^-2
- (2i) ms^-2
- (4i + 3j) ms^-2
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