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The position of a particle moving along the x axis is given by x = 12 t2 - 2t3, where x is in meters and t is in seconds. The acceleration of the particle at t = 3.0s is

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ISRO VSSC Technical Assistant Mechanical 9 June 2019 Official Paper
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  1. -12 m/s2
  2. +9 m/s2
  3. +12 m/s2
  4. -9 m/s2

Answer (Detailed Solution Below)

Option 1 : -12 m/s2
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Detailed Solution

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Concept:

If x if a function of t, i.e. x = f(t) then

Velocity (v) = and

Acceleration (a) = 

Calculation:

Given:

x = 12t2 – 2t3

Velocity is:

Acceleration is:

Acceleration at t = 3s

(a)t = 3 = 24 - (12 × 3) = -12 m/s2

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