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science

Grade-9

Easy

Question

The s-t graph of a car is shown in the figure below. In which of the sections was the car slowest

AB
CD
EF
None of the above

hint Hint:

AB

The correct answer is: AB

From A to B the car was traveling the slowest.
Justification:
The angle of the slope from A to B is more than others hence the velocity is least.
Mathematically:
$V e l o c i t y space left parenthesis space A space t o space B space right parenthesis space equals space 3 over 5 space equals space 0.6 m s to the power of negative 1 end exponent V e l o c i t y space left parenthesis space B space t o space C right parenthesis space equals space fraction numerator 3 minus 3 over denominator 8 minus 5 end fraction space equals space 0 m s to the power of negative 1 end exponent v e l o c i t y space left parenthesis space C space t o space D space right parenthesis space equals space fraction numerator 12 space minus space 3 over denominator 12 space minus space 8 end fraction space equals space 9 over 4 space equals space 2.25 m s to the power of negative 1 end exponent V e l o c i t y space left parenthesis space D space t o space E space right parenthesis space equals space fraction numerator 12 space minus space 12 space over denominator 14 space minus space 12 space end fraction space equals space 0 m s to the power of negative 1 space end exponent V e l o c i t y space left parenthesis space E space t o space F space right parenthesis space equals space fraction numerator 12 minus 0 space over denominator 20 space minus space 14 space end fraction equals space 12 over 6 space equals space 2 m s to the power of negative 1 end exponent$

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