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Motion in a Straight Line · Question 12

JEE Main 2025 (Online) 3rd April Morning ShiftMCQMedium📈 Topic in 13% papers+4−1
1

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

  1. A, B and C only
  2. A, C and D only
  3. A, B and D only
  4. A and B only

Answer

(3) A, B and D only

Solution

A. In SHM the phase = t + 0 increases linearly with time (it may start from a negative value) possible.

B. In SHM v2 = 2(A2 - x2) the velocity–displacement graph is a closed ellipse (a circle with suitable scales), traced clockwise (x increases while v > 0) possible.

C. A closed curve on a velocity–time graph gives two velocities at the same instant and needs time to run backwards not possible.

D. Total distance (path length) never decreases with time; the graph only rises or stays flat possible.

A, B and D only

Answer: (3)

JEE Main 2025 (Online) 3rd April Morning Shift

Keep practising — Motion in a Straight Line

2

A particle moves along the x-axis and has its displacement x varying with time t according to the equation: x = c0 (t2 - 2 ) + c(t - 2)2 where c0 and c are constants of appropriate dimensions. Then, which of the following statements is correct?

  1. the acceleration of the particle is 2(c + c0)
  2. the acceleration of the particle is 2c0
  3. the acceleration of the particle is 2c
  4. the initial velocity of the particle is 4c
JEE Main 2025 (Online) 3rd April Evening Shift
3

A person travelling on a straight line moves with a uniform velocity v1 for a distance x and with a uniform velocity v2 for the next 32x distance. The average velocity in this motion is 507 m/s. If v1 is 5 m/s then v2 = m/s.

JEE Main 2025 (Online) 2nd April Morning Shift
4

A sportsman runs around a circular track of radius r such that he traverses the path ABAB. The distance travelled and displacement, respectively, are [figure]

  1. r, 3r
  2. 2r, 3 r
  3. 3 r, 2r
  4. 3 r, r
JEE Main 2025 (Online) 2nd April Evening Shift
5

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 = 4 s? [figure]

  1. 11 m
  2. 30 m
  3. 13 m
  4. 10 m
JEE Main 2025 (Online) 28th January Evening Shift

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