Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsMotion in One Dimension

The displacement-time graphs for two particles A and B are straight lines. The graph for particle A makes an angle of 60^ with the displacement axis, while the graph for particle B makes an angle of 30^ with the displacement axis. The ratio of the velocity of particle A to that of particle B is:

Options

  1. A3:1
  2. B1:3
  3. C2:1
  4. D1:2

Correct answer

B. 1:3

Step-by-step solution

The velocity of a particle is given by the slope of its displacement-time graph, which is the tangent of the angle it makes with the time axis. Let the angles made by the graphs of A and B with the time axis be _A and _B respectively. Since the angles are given with respect to the displacement axis, we must find their complementary angles to get the angles with the time axis: _A = 90^ - 60^ = 30^ _B = 90^ - 30^ = 60^ The velocities are: v_A = (30^ ) = 1 3 v_B = (60^ ) = 3 The ratio of their velocities is: v_A v_B =

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed V and the remaining distance with speed 3V 2 . Its average speed is 2026For uniform acceleration in linear motion which of the following is NOT CORRECT ? 2026Two cars, P and Q move toward each other, getting 8 m closer every second. If they move in the same direction, they get 0.6 m closer every second. If car P is faster than car Q the 2026A block is kept on the floor of an elevator at rest. The elevator starts descending with acceleration of 5 m/s ^2 . The displacement of the block during the first 0.2 s after the s 2026The acceleration ( a ) -time ( t ) graph for the body starting from rest is as shown in the figure. The maximum speed of the body is 2026A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v') and then retards to rest at the constant rate 'q'. If the total distance covered by the tr 2026The 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 ? 2026Consider a particle moving along a straight line, whose position as a function of time is given by s(t)= t^2- t+ , where =1 ms ⁻² , =6 ms ⁻¹ and =5 m. The average speed of the part 2026 Full Motion in One Dimension list All NEET PYQs