Question
Figure given below shows a velocity-time graph for a car starting from rest. The graph has three parts $AB, BC$ and $CD.$

(a) Is the magnitude of acceleration higher or lower than that of retardation ? Give a reason .
(b) Compare the magnitude of acceleration and retardation .

Answer

(a) The magnitude of acceleration is lower as the slope of line AB is less than that of line $CD.$
(b) Slope of line $AB = v_o/t$
Slope of line $CD = v_o/0.5t$
Slope of line AB/Slope of line $CD = (v_o /t)/(v_o /0.5t)$
Slope of line AB:Slope of line $CD :: 1:2.$

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