Kinematics and dynamics in A Level Year 12 are equations of motion: v = u + at, s = ut + ½at² and v² = u² + 2as, with Newton's second law F = ma and momentum p = mv. This worksheet tests acceleration, displacement–time gradients, vertical flight, collisions and terminal velocity; every MCQ answer is in the key below.
Key Takeaways
Acceleration from rest to 20 m s⁻¹ in 8 s is 2.5 m s⁻² (Q1).
On a displacement–time graph the gradient represents velocity (Q2).
At the top of a vertical throw the velocity is zero, but the acceleration is not (Q3).
v² = u² + 2as relates final speed, initial speed, acceleration and displacement (Q4).
Momentum p = mv: a 3 kg object moving at 4 m s⁻¹ has momentum 12 kg m s⁻¹ (Q6).
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.A car accelerates uniformly from rest to 20 m s⁻¹ in 8 s. What is its acceleration?
(a) 2.5 m s⁻²(b) 0.4 m s⁻²(c) 160 m s⁻²(d) 5 m s⁻²
2.On a displacement-time graph for uniform motion, the gradient represents the...
(a) acceleration(b) velocity(c) force(d) distance
3.A ball is thrown vertically upwards. At the top of its flight, its...
(a) velocity is zero(b) acceleration is zero(c) kinetic energy is maximum(d) potential energy is minimum
4.Which SUVAT equation correctly relates final speed v, initial speed u, acceleration a and displacement s?
(a) v = u + at(b) s = ut + ½at²(c) v² = u² + 2as(d) s = ½(u + v)t
5.Newton's second law can be written as...
(a) F = mv(b) F = ma(c) F = m/a(d) F = a/m
6.A 3 kg object moves at 4 m s⁻¹. Its momentum is...
(a) 12 kg m s⁻¹(b) 7 kg m s⁻¹(c) 0.75 kg m s⁻¹(d) 48 kg m s⁻¹
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.State Newton's first law of motion.
8.Distinguish between scalar and vector quantities, giving one example of each.
9.Define the newton in terms of mass and acceleration.
10.State the principle of conservation of momentum.
11.Explain why a falling skydiver reaches a terminal velocity.
12.State the equation linking resultant force, mass and acceleration.
13.What is meant by the term weight?
14.Describe the difference between speed and velocity.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A car accelerates uniformly from 10 m s⁻¹ to 30 m s⁻¹ over a distance of 100 m. Using v² = u² + 2as, calculate its acceleration.
16.A stone is dropped from rest and takes 3 s to reach the ground. Using s = ut + ½gt² with g = 9.8 m s⁻², calculate the height of the cliff.
17.A force of 3000 N acts on a 1500 kg car. Using F = ma, calculate the acceleration produced.
18.A 2 kg object moving at 6 m s⁻¹ collides with and sticks to a stationary 4 kg object. Using conservation of momentum, calculate the common velocity after the collision.
19.A constant force of 50 N acts on a 5 kg object for 4 s. Calculate the impulse Ft and the resulting change in velocity.
20.A ball is kicked horizontally at 20 m s⁻¹ from a cliff 44.1 m high. Using t = √(2h/g) with g = 9.8 m s⁻², calculate the time of flight and the horizontal distance travelled.
Answer Key
1. a) 2.5 m s⁻²
2. b) velocity
3. a) velocity is zero
4. c) v² = u² + 2as
5. b) F = ma
6. a) 12 kg m s⁻¹
7. Refer to solution guide.
8. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet
People Also Ask
What does the gradient of a displacement–time graph represent?
It represents velocity. It is option (b) in this worksheet (Q2).
What is the acceleration from rest to 20 m s⁻¹ in 8 s?
2.5 m s⁻². It is option (a) in this worksheet (Q1).
What is the velocity of a ball at the top of its vertical flight?
Zero. Its acceleration is still g, so option (a) in Q3 is correct.
Which equation relates v, u, a and s?
v² = u² + 2as. It is option (c) in this worksheet (Q4).
What is the momentum of a 3 kg object moving at 4 m s⁻¹?
12 kg m s⁻¹. It is option (a) in this worksheet (Q6).
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