The displacement-time graph for two bodies A and B are straight lines inclined at 60° and 30° to the time axis. Find the ratio of their speed is

Correct answer: A. 3:1

  • A. 3:1
  • B. √3:1
  • C. 1:3
  • D. 1:3^1/2

Explanation

The slope of the displacement-time graph represents velocity. The tangent of the angle of inclination of the line gives the ratio of the velocities. So, if the angles are 60° and 30°, the ratio of speeds would be tan(60°):tan(30°) = 3:1Incorrect Options Explanation:(b) √3:1: This ratio doesn't correspond to the given angles.(c) 1:3: This ratio is the inverse of the correct ratio.(d) 1:3^1/2: This ratio is the reciprocal of the correct ratio.

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Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.

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