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The relation between time t and distance x is t = ax² + bx where a and b are constants. The acceleration is

1. -2bv³
2. -2abv²
3. 2av²
4. -2av³

Correct answer: -2av³

Solution

The acceleration can be derived from the relationship between time and distance, where the second derivative of distance with respect to time gives acceleration. By differentiating the given equation twice, we find that the acceleration is proportional to the negative of the constant 'a' multiplied by the cube of the velocity, leading to the correct option.

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