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Matter In Our Surroundings

Question
CBSEENSC9005780

A car accelerates at a constant rate of change of velocity in 5 seconds from 10 m/s to 25 m/s on a highway. What is the acceleration and how far does the car go in this time-interval ? Give a graphical solution.

Solution

as shown in the fig. AB is the speed-time graph for the motion of the car.


Distance space travelled space by space the space body
space space space space space space space equals Area space of space increment AOB
space space space space space space space equals space 1 half cross times space OA space cross times space OB
space space space space space space space space equals space 1 half cross times space 5 space cross times 5 space equals space 12.5 space straight m.