The displacement of a particle is represented by the following

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The displacement of a particle is represented by the following equation :
s = 3t³ + 7t² + 5t + 8where s is in metre and t in second. The acceleration of the particle at t = 1s is

1. 14 m/s²
2. 18 m/s²
3. 32 m/s²
4. zero

Correct Option: C

Displacement
s = 3t³ + 7t² + 5t +8;
Velocity = ds/dt = 9t² + 14t + 5

Acceleration =	d²s	= 18t + 14
	dt²

Acceleration at (t = 1s)
= 18 × 1 + 14 = 18 + 14 = 32 m/s²