Position of a particle as a function of time is given as x = 5t2 + 4 + 3. Find the acceleration of the particle at t=2 s?
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The displacement is given as x=5t2+4t+3
⇒x−3=5t2+4t
assuming x−3=s,
s=4t+2110t2
comparing this with s=ut+21at2
we get u=4m/s and a=10m/s2
so velocity at t=2sec is v=u+at=4+10×2=24m/s.
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