Linear kinematics worksheet with questions and a position-time graph.

Let’s solve each question one by one with clear explanations.

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Question 1:
*A durian suddenly falls down from a tree. Which of the following statements is TRUE, regarding its motion during the fall by neglecting air resistance?*

Options:
A. The final speed of the durian is zero.
B. The durian’s acceleration depends on its mass.
C. The instantaneous velocity of the durian at any point is uniform.
D. The instantaneous acceleration of the durian at any point is constant.

✔ Correct Answer: D. The instantaneous acceleration of the durian at any point is constant.

Explanation:
When air resistance is neglected, the only force acting on the durian is gravity. This means it undergoes free fall, and its acceleration is constant — equal to g ≈ 9.8 m/s² downward.

- A is false: Final speed increases as it falls; it’s not zero unless it hits the ground and stops (but the question refers to motion *during* the fall).
- B is false: In free fall (no air resistance), acceleration due to gravity is independent of mass.
- C is false: Velocity is changing (increasing) continuously — it’s not uniform (constant).
- D is true: Acceleration is constant throughout the fall.

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Question 2:
*The rate of change of displacement is called*

Options:
A. acceleration
B. motion
C. momentum
D. velocity

✔ Correct Answer: D. velocity

Explanation:
By definition, velocity is the rate of change of displacement with respect to time:

> v = Δx / Δt

- Acceleration is rate of change of velocity.
- Motion is a general term, not a quantity.
- Momentum is mass × velocity.

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Question 3:
*What we say when a body remains in one position for a long time?*

Options:
A. The body is at rest
B. The body is moving with constant speed
C. The body is accelerating uniformly
D. None of the above

✔ Correct Answer: A. The body is at rest

Explanation:
If a body remains in one position, its displacement doesn’t change → velocity = 0 → it is at rest.

- B and C imply motion or change in velocity — not possible if position is fixed.
- So A is correct.

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Question 4:
*The rate of change of velocity is called*

Options:
A. acceleration
B. motion
C. momentum
D. inertia

✔ Correct Answer: A. acceleration

Explanation:
Acceleration is defined as the rate of change of velocity:

> a = Δv / Δt

- Motion and inertia are not rates.
- Momentum is p = mv, not a rate of change.

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Question 5 (based on FIGURE 1):
*Which of the following is true?*

Figure 1 is an x-t graph (position vs. time). It’s a straight line starting from origin, sloping upward.

Options:
A. The object increases its velocity
B. The object decreases its velocity
C. The object’s velocity stays unchanged
D. The object stays at rest

✔ Correct Answer: C. The object’s velocity stays unchanged

Explanation:
In a position-time (x-t) graph:
- Slope = velocity
- A straight line → constant slope → constant velocity
- Since the line is straight and not horizontal, velocity is constant and non-zero.

So:
- A and B are wrong — velocity isn’t changing.
- D is wrong — it’s moving (slope ≠ 0).
- C is correct — velocity is constant.

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✔ Final Answers:

1. D
2. D
3. A
4. A
5. C

Let me know if you’d like help with Question 6 too — it says “Question 5 & 6 based on FIGURE 1”, but only Q5 is shown here. If you provide Q6, I’ll solve it as well!