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A particle is moving along x-axis. The p...

A particle is moving along x-axis. The position of the particle at any instant is given by ` x= a+bt^(2) ` where ,a= 6 m and b= 3.5 `ms^(-2) ` 't' is measured in second .Find
(i) the velocity of the particle at 1s and
(ii) the average velocity between 3s and 6s

Text Solution

Verified by Experts

Average velocity `=("displacement of the particle")/("time taken") =(x(t=6x)-(t=3s))/((6-3)s) =((a+36b)-(a+9b))/(3)`
`=(27b)/(3) =(27xx3.5)/(3) =31.5" ms"^(-1)`
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