A cart changes its speed from rest to 100 m/s in 1 s. During this interval...

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Solution :-

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Given :-

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Speed â€“ 100 m/s

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Time â€“ 1 s

Â Â Â Â Â Â Â Â Â Then calculate acceleration ,

Therefore the formula for acceleration is given by

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Acceleration =Â Â Velocity / time

And unit of the acceleration is m/s²

But , in this problem the given value is speed and time so in conceptually the formula for acceleration is

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â acceleration = Speed / time

unit of speed is â€“ meter/second (m/s) & unit of time is second (s)

Now calculate acceleration by using formula and given value ,

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â A = s / t

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â t = time

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â S = speed

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â A = acceleration

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â A = (100)m/s / 1 s

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â A = 100 m/s²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â The acceleration is 100 m/s²

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