Motion in a Straight Line

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Questions and Answers

Which of the following is an example of one-dimensional motion?

Train running on a straight track (correct)

Landing of an aircraft

Motion of wheels of moving train

Earth revolving around the sun

The coordinates of an object with respect to a frame of reference at t = 0 s are (-1, 0, 3). If t = 5 s, its coordinates are (-1, 0, 4), then the object is in

rest position between t=0s and t=5s

motion along Z-axis (correct)

motion along X-axis

motion along Y-axis

A person moves towards east for 3m, then towards north for 4m and then moves vertically up by 5m. What is his distance now from the starting point?

10 m

5√2 m (correct)

20 m

For a stationary object at x = 40 m, the position-time graph is

x (m) 40 20 0, 10 20 30 40 →t(s) (A) Signup and view all the answers

The displacement of a car is given as -240 m, here negative sign indicates

direction of displacement (C) Signup and view all the answers

Snehit starts from his home and walks 50 m towards north, then he turns towards east and walks 40 m, and then reaches his school after moving 20 m towards south. Then, his displacement from his home to school is

50 m (A) Signup and view all the answers

A vehicle travels half the distance l with speed $v_1$ and the other half with speed $v_2$, then its average speed is

$\frac{2v_1 v_2}{v_1 + v_2}$ (A), $\frac{2v_1 v_2}{v_1 + v_2}$ (D) Signup and view all the answers

A runner starts from O and comes back to O following path OQRO in 1h. What is his net displacement and average speed?

0, 3.57 km/h (C) Signup and view all the answers

The sign (+ ve or - ve) of the average velocity depends only upon

the sign of displacement (A) Signup and view all the answers

Find the average velocity, when a particle completes the circle of radius 1 m in 10 s.

zero (B) Signup and view all the answers

The displacement-time graph of two moving particles make angles of 30° and 45° with the X-axis. The ratio of their velocities is

1 : √3 (D) Signup and view all the answers

In figure, displacement-time (x - t) graph given below, the average velocity between time t = 5 s and t = 7 s is

8.7 ms⁻¹ (A) Signup and view all the answers

Figure shows the x-t plot of a particle in one-dimensional motion. Two different equal intervals of time show speed in time intervals 1 and 2 respectively, then

Data insufficient (D) Signup and view all the answers

For the x-t graph given below, the v - t graph is shown correctly in

v (ms⁻¹) 0 t(s) (A), v (ms⁻¹) 0 t(s) (B), v (ms⁻¹) 0 t(s) (C), v (ms⁻¹) 0 t(s) (D) Signup and view all the answers

The speed-time graph of a particle moving along a fixed direction is as shown in the figure. The distance traversed by the particle between t = 0 s to t = 10 s is

60 m (B) Signup and view all the answers

If an object is moving in a straight line, then

Both (a) and (b) (D) Signup and view all the answers

In one dimensional motion, instantaneous speed v satisfies 0 ≤ v ≤ v. Then

displacement x in time T satisfies -_v_T < x < _v_T (C) Signup and view all the answers

The x-t equation is given as x = 2t + 1. The corresponding v-t graph is

a straight line not passing through origin (B) Signup and view all the answers

The displacement x of an object is given as a function of time, x = 2t + 3t². The instantaneous velocity of the object at t = 2 s is

14 ms⁻¹ (C) Signup and view all the answers

The displacement of a particle starting from rest (at t = 0) is given by s = 6t² - t³. The time in seconds at which the particle will attain zero velocity again is

4 (C) Signup and view all the answers

A car moves along a straight line according to the x-t graph given below. The instantaneous velocity of the car at t = t₁ is

zero (C) Signup and view all the answers

A particle moves in a straight line. It can be accelerated

Either by changing its speed or direction (C) Signup and view all the answers

An object is moving along the path OABO with constant speed, then

Both (b) and (c) (C) Signup and view all the answers

The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms⁻¹. If the change in velocity of the body is 0.18 ms⁻¹ during this time, its uniform acceleration is

0.02 ms⁻² (B) Signup and view all the answers

The slope of the straight line connecting the points corresponding to (v₂, t₂) and (v₁, t₁) on a plot of velocity versus time gives

average acceleration (B) Signup and view all the answers

The displacement x of a particle at time t along a straight line is given by x = α - βt + γt². The acceleration of the particle is

2γ (C) Signup and view all the answers

The displacement (in metre) of a particle moving along X-axis is given by x = 18t + 5t². The average acceleration during the interval t₁ = 2s and t₂ = 4 s is

10 ms⁻² (B) Signup and view all the answers

The relation between time and distance is t = ax² + βx, where α and β are constants. The retardation is

2αv³ (A) Signup and view all the answers

The v-t graph of a moving object is shown in the figure. The maximum acceleration is

6 cms⁻² (C) Signup and view all the answers

The resulting a-t graph for the given v-t graph is correctly represented in

a (ms⁻²) 0 t (s) (A), a (ms⁻²) 0 t (s) (B), a (ms⁻²) 0 t (s) (C), a (ms⁻²) 0 t (s) (D) Signup and view all the answers

Flashcards

Rest

The state when an object's position does not change over time.

Motion

The state when an object's position continuously changes over time.