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Displacement of a body is given by \( x= \) \( \mathbf{5}+\mathbf{3} t+\mathbf{2} t^{2} . \) The value instantaneous acceleration is:

1. 4 units
2. 6 units
3. 5 units
4. 2 units

Correct answer: 2 units

Solution

For x = 5 + 3t + 2t^2, velocity is dx/dt = 3 + 4t. Differentiating again gives acceleration a = d²x/dt² = 4, so the stated correct option appears inconsistent with the formula.

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