Motion of a particle is given by equation s = (3t^3 + 7t^2 + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is
Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is
(a) 10 m/s2
(b) 32 m/s2
(c) 23 m/s2
(d) 16 m/s2
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Correct option (b) 32 m/s2
Explanation:
ds/dt = 9t2 + 14t +14
d2s/dt2 = 18t + 14 = a
at = 18 x 1+ 14 = 32 m/s2
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