Physics Force & Motion ETEA 2022
PMDC Verified Question 73 of 137
The velocity time graph of a motion starting from rest with uniform acceleration is a straight line:
A
Not passing through origin
B
Parallel to time axis
C
Parallel to velocity axis
D
Passing through origin
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: Passing through origin
Concept:

A velocity-time graph maps velocity on the y-axis against time on the x-axis. The slope of this graph is the acceleration.

Formula:

$$ v = v_i + at $$

Solution:

  • The object starts from rest, meaning initial velocity \( v_i = 0 \).


  • Substituting this gives the equation \( v = at \).


  • This is a linear equation matching the form \( y = mx + c \), where \( c = 0 \) (the y-intercept).


  • Because the y-intercept is exactly 0, the straight line must strictly pass through the origin (0,0).


Why other options are incorrect:

If it did not pass through the origin, \( v_i \) would not be zero. Parallel to time axis means zero acceleration. Parallel to velocity axis is physically impossible.

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