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Matter In Our Surroundings

Question
CBSEENSC9005733

A bus was moving in a straight line with a speed of 54 km/h. On applying brakes, it stopped in 8 s. Calculate the acceleration.

Solution
Here comma space
I n i t i a l space v e l o c i t y comma space straight u space equals space fraction numerator 54 space km over denominator straight h end fraction space equals space fraction numerator 54 space cross times space 1000 space straight m over denominator 3600 space straight s end fraction space equals space 15 space straight m divided by straight s
F i n a l space v e l o c i t y comma space v space equals space 0

T i m e space t a k e n space f o r space t h e space b i c y c l e space t o space s t o p comma space straight t space equals space 8 space straight s

Acceleration comma space space straight alpha space equals space fraction numerator v minus straight u over denominator straight t end fraction space equals space fraction numerator 0 minus 15 over denominator 8 end fraction space equals space minus 1.87 space straight m divided by straight s squared. space