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The displacement of a particle is represented by the following equation: s = 3t3 +7t2 +5t+8 where s is in metre and t in second. The acceleration of the particle at t = 1s is
(a) 14 m/s2
(b) 18 m/s2
(c) 32 m/s2
(d) Zero
(c)
Displacement s = 3t3 + 7t2 + 5t +8;
Velocity = = 9t2 + 14t + 5
Acceleration = = 18t + 14
Acceleration at
t = 1s, = 18 × 1+14 = 18 + 14 = 32m/s2
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