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A particle is moving along the path given by y = c6  t6(where c is positive constant). The relation between the acceleration (a) and the velocity (v) of the particle at t=5 sec. Is 


Options:
A .   5a=v
B .   a =  v
C .   a=5v
D .   a=v
Answer: Option D
:
D

Differentiate  y we get v=c(t5)
Differentiate  v we get a=5c(t4)


In expressions for v and a, substitute t = 5 s and  take ratio of the two quantities.


We get, v=a



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