Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202611 April 2026Morning ShiftPhysicsMotion in One DimensionActual

A car passes three points A, B and C at 3 m/s, 6 m/s and 9 m/s respectively in a straight line with uniform acceleration. If distance AB = 60 m then find the distance BC.

Options

  1. A100 m
  2. B75 m
  3. C200 m
  4. D125 m

Correct answer

A. 100 m

Step-by-step solution

Using the equation of motion v^2 - u^2 = 2as for the interval AB: v_B^2 - v_A^2 = 2a(AB) 6^2 - 3^2 = 2a(60) 36 - 9 = 120a 27 = 120a a = 27 120 = 9 40 m/s ^2 Applying the same equation for the interval BC: v_C^2 - v_B^2 = 2a(BC) 9^2 - 6^2 = 2 9 40 BC 81 - 36 = 9 20 BC 45 = 9 20 BC BC = 45 20 9 = 100 m Answer: 100 m

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

An object is dropped from a certain point A at a height 'h' from the ground. During it's journey straight downwards, the object passes points B and C such that the ratio of time ta 2026A particle moves along a parabolic path y = 9x^2 in such a way that the x component of velocity remains constant. If, the acceleration of the particle is 2j ms⁻² , find the x compo 2026A car, starting from rest, accelerates at a rate of through a distance S, then continues at constant speed for time t and then decelerates at a rate of 2 to come to rest. If the to 2026A car covers the first half of the distance between two places at 40 km/h and another half at 50 km/h. The average speed of the car is 2026The velocity of a particle moving along x -axis is given as V = x^2 - 5x + 4 (in m/s) where x denotes the x -coordinate of the particle in metres. The magnitude of the acceleration 2026If the displacement (s in metre) of a moving particle in terms of time (t in second) is s=t^3-6 t^2+18 t+9 , then the minimum velocity attained by the particle is 2025A ball projected vertically upwards with a velocity 'v' passes through a point P in its upward journey in a time of ' x ' seconds. From there, the time in which the ball again pass 2025The displacement (x) and time (t) graph of a particle moving along a straight line is shown in the figure. The average velocity of the particle in the time of 10 s is 2025 Full Motion in One Dimension list All MHT CET PYQs