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science

Grade-9

Easy

Question

The s-t graph of a person’s journey is shown in the figure below. Identify the section in which the person was moving at the fastest pace.

From O to A
From A to B
From B to C
From C to D

hint Hint:

From C to D

The correct answer is: From C to D

Frome C to D the person was moving at the fastest pace.
Justification:
The angle of the slope of the position-time graph from C to D is less hence the velocity is greater.
Mathematically:
Velocity from O to A
$V e l o c i t y space left parenthesis space O space t o space A space right parenthesis space equals space fraction numerator 6 over denominator 40 space end fraction equals space 0.15 m s to the power of negative 1 space end exponent V e l o c i t y space left parenthesis space A space t o space B space right parenthesis space equals space 0 over 30 space equals space 0 m s to the power of negative 1 end exponent V e l o c i t y space left parenthesis space B space t o space C space right parenthesis space equals space fraction numerator 8 over denominator 20 space end fraction space equals space 0.4 m s to the power of negative 1 end exponent V e l o c i t y space left parenthesis C space t o space D right parenthesis space equals space 14 over 10 space equals space 1.4 m s to the power of negative 1 end exponent$

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