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If the initial velocity of aparticle is ...

If the initial velocity of aparticle is (u) collinera acceleration at any time (t) is at, calculate the velocity of the paraticle after time (t).

Text Solution

Verified by Experts

By definition, accleration ` =(du)/(dt) =at`
or ` d v= at dt`
Intergating it, we have ` int_(u)^(v) d v =int_(0)^(t) at dt`
or ` v-u = 1/2 at^(2) or v=u + 1/2 at^(2)`
or ` v/2 =1/2/ at^(2) or v= u=+ 1/2 at^(2)`.
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