The acceleration of a motorcycle that accelerates from rest is the same as the acceleration of a bicycle that accelerates from rest.
In the case of uniformly accelerated motions, we use the following three equations:
s = ut+ 1/2at^2 ........(i)
v = u + at ................(ii)
v^2 - u^2 = 2as .........(iii)
In the given case, both motorcycle and bicycle start from rest, so the equation (ii) becomes
v = 0 + at
v = at
a = v/t
The acceleration of both the motorcycle and bicycle depends on the final velocity and time elapsed, which is the same in the given case.
Therefore the acceleration of a motorcycle that accelerates from rest is the same as the acceleration of a bicycle that accelerates from rest.
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