position of a particle s = 3x^2 +2x^4+3x, where x is the time period of the body . find the velocity and the acceleration of the body if x=4 sec
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The displacement is given as x=5t
2
+4t+3
⇒x−3=5t
2
+4t
assuming x−3=s,
s=4t+
2
1
10t
2
comparing this with s=ut+
2
1
at
2
we get u=4m/s and a=10m/s
2
so velocity at t=2sec is v=u+at=4+10×
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