Moderate

The velocity-time graphs are inclined at 30° and 45° with the time axis. What is the ratio of their acceleration?

Correct answer: B. 3:1//incorrect

  • A. 3:2(b) 3:1
  • B. 3:1//incorrect
  • C. 1:3
  • D. none

Explanation

The slope of a velocity-time graph represents acceleration. The tangent of the angle of inclination gives the ratio of accelerations. So, if the angles are 30° and 45°, the ratio of accelerations would be tan(30°):tan(45°)=3 :1.Incorrect Options Explanation:(a) 3:23 :2: This is not the correct ratio for the given angles.(c) 1:31:3 : This ratio is the reciprocal of the correct ratio.(d) none: There is a defined ratio of accelerations based on the given angles.

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