Motion in a Straight Line - Concepts

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

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

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?

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

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

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

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

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

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

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

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

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

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

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

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

If an object is moving in a straight line, then

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

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

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

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

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

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

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

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

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

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

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

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

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

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