Frame of reference and position-time graphs — practice questions

Question 1 · difficulty L2 · understanding

The velocity $(v)$ versus time $(t)$ plot of a particle is shown in the figure, for a time interval of 40 s . The total distance travelled by the particle and the average velocity during this period are, respectively $\_\_\_\_$.

• A. 25 m and zero
• B. 50 m and zero
• C. 100 m and zero
• D. 100 m and $2.5 \mathrm{~m} / \mathrm{s}$

Question 2 · difficulty L2 · understanding

The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between $t = 0$ to $t = 4s$?

• A. 11 m
• B. 30 m
• C. 13 m
• D. 10 m

Question 3 · difficulty L2 · understanding

The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ̱_______ km .

• A. 12
• B. 6
• C. 3
• D. 9

Question 4 · difficulty L2 · understanding

From the $$\mathrm{v}-t$$ graph shown, the ratio of distance to displacement in $$25 \mathrm{~s}$$ of motion is:

• A. 1
• B. $$\frac{3}{5}$$
• C. $$\frac{1}{2}$$
• D. $$\frac{5}{3}$$

Question 5 · difficulty L2 · understanding

The position-time graphs for two students A and B returning from the school to their homes are shown in figure. (A) A lives closer to the school (B) B lives closer to the school (C) A takes lesser time to reach home (D) A travels faster than B (E) B travels faster than A Choose the correct answer from the options given below :

• A. (A), (C) and (D) only
• B. (A) and (E) only
• C. (A), (C) and (E) only
• D. (B) and (E) only

Question 6 · difficulty L2 · understanding

The velocity time graph of a body moving in a straight line is shown in the figure. The ratio of displacement to distance travelled by the body in time 0 to 10s is :

• A. 1 : 1
• B. 1 : 3
• C. 1 : 4
• D. 1 : 2

Question 7 · difficulty L2 · understanding

A particle is moving with constant acceleration 'a'. Following graph shows v 2 versus x(displacement) plot. The acceleration of the particle is ___________ m/s 2 .

Question 8 · difficulty L3 · understanding

$$\text {Which of the following curves possibly represent one-dimensional motion of a particle? }$$ Choose the correct answer from the options given below :

• A. A, B and C only
• B. A, C and D only
• C. A, B and D only
• D. A and B only

Question 9 · difficulty L3 · understanding

Match Column-I with Column-II : Column-I ($$x$$-t graphs) Column-II ($$v$$-t graphs) A. I. B. II. C. III. D. IV. Choose the correct answer from the options given below:

• A. A- II, B-III, C-IV, D-I
• B. A- II, B-IV, C-III, D-I
• C. A- I, B-III, C-IV, D-II
• D. A- I, B-II, C-III, D-IV

Question 10 · difficulty L3 · understanding

The following plots show variation of velocity $(v)$ with time $(t)$ of a ball thrown vertically upward, and falling back. Which of the following plots is/are correct?

• A. C only
• B. D only
• C. B only
• D. A and E only