First slide
Instantaneous acceleration
Question

The velocity of a body moving in a straight line is given by V = (3x2+ x)m/s. Find acceleration at x = 2m.
 

Moderate
Solution

v=3x2+xv(u=2)=14ms2dvdt=6xdxdt+dxdt=6×2×14+14=168+14=182ms2

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