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Matter In Our Surroundings

Question
CBSEENSC9005737

A body starting from rest travels with uniform acceleration. If it travels 100 m in 5 s, what is the value of acceleration?

Solution
Here comma

I n i t i a l space v e l c o i t y comma space straight u space equals space 0

T i m e space o f space t r a v e l comma space straight t space equals space 5 space straight s

Distance space travelled comma space straight s space equals space 100 space straight m

Acceleration comma space straight a space equals space ?

therefore space space U sin g space t h e space s e c o n d space e q u a t i o n space o f space m o t i o n comma space
space space space space space space space space space space space space space space space space space space space space space straight s space equals space ut plus 1 half at squared
therefore space space space space 100 space equals space 0 plus 1 half straight a cross times 5 squared space space space space
rightwards double arrow space space space space 100 space equals space 25 over 2 straight a space space space space
rightwards double arrow space space space space space space space space space straight a space equals space fraction numerator 100 space cross times space 2 over denominator 25 end fraction space equals space space 8 space straight m divided by straight s squared
 
Therefore, the body is accelerating at the rate of 8 m/s2