Uniform and Non-Uniform Motion - UNSOLVED PRACTICE SET

Q7. Define uniform motion and non-uniform motion. Give two examples of each from daily life.

Q8. How can you identify whether an object is in uniform or non-uniform motion from its distance–time data? Use the following data to decide: t = 0, 1, 2, 3, 4 s and d = 0, 5, 10, 15, 20 m.

Q9. What does the slope of a distance–time graph represent? How does the slope differ between uniform and non-uniform motion?

Q10. An Agra–Delhi Shatabdi Express covers 200 km in the first 2 hours, 195 km in the next 2 hours, and 205 km in the last 2 hours. Is the train in uniform motion? Justify your answer.

Q11. Can a body have uniform speed but non-uniform velocity? Explain with an example. Also state the reverse: can a body have uniform velocity but varying speed?

Q12. Explain in your own words what 'average speed' represents for a non-uniform motion. Why is it only an approximation of the actual motion?

Q13. A cyclist records the following distance–time data:    Time (s): 0   5   10  15  20  25  30   Distance (m): 0  15  30  45  45  65  90 
(a) During which interval is the cyclist moving with uniform motion? How do you know?
(b) During which interval is the cyclist stationary?
(c) Calculate the speed during the 0–15 s interval.
(d) Is the motion between 20–30 s uniform or non-uniform? Calculate and justify.
(e) Describe what the distance–time graph would look like overall.

Q14. A BEST bus (Mumbai) leaves the depot and picks up passengers at various stops. Explain how its motion is non-uniform with reference to:
(a) speed changes at stops and signals,
(b) what the distance–time graph would look like for such a journey,
(c) how you would calculate average speed for the full journey, and
(d) whether any segment of the journey could be considered 'uniform motion' and under what conditions.

Q15. Compare and contrast uniform and non-uniform motion under the following five headings:
(a) Definition,
(b) Distance covered in equal time intervals,
(c) Nature of the distance–time graph,
(d) Speed during the motion, and
(e) One real-life example. Present your answer as a comparison table or as structured paragraphs.

Q16. Look at the following distance–time table for a scooter:    Time (min): 0  5  10  15  20  25   Distance (km): 0  2  4   4   7   10 
(a) Identify the interval(s) of uniform motion and calculate the speed.
(b) Identify the stationary interval.
(c) Calculate the average speed for the full 25-minute journey in km/h.

Q17. Two runners, Amit and Bina, start from the same point. Amit runs at a constant speed of 6 m/s. Bina starts slowly at 3 m/s but doubles her speed every 10 seconds.
(a) How far does Amit run in 30 s?
(b) How far does Bina run in 30 s?
(c) Who is in uniform motion and who is in non-uniform motion? Justify.
 (Note: Bina's speed: 0–10 s = 3 m/s, 10–20 s = 6 m/s, 20–30 s = 12 m/s)

Q18. A distance–time graph shows a straight line passing through the origin with a slope of 8 m/s.
(a) What type of motion does this represent?
(b) Write the equation relating distance and time for this object.
(c) Using the equation, find the distance at t = 7 s.
(d) At what time will the object be 200 m from the starting point?
(e) If the slope were to suddenly double at t = 10 s, what type of event would that represent physically?