RE-NEET 2024 Physics Motion in One Dimension MCQ Question
A particle is moving along x-axis with its position (x) varying with time (t) as x = αt⁴ + βt² + γt + δ. The ratio of its initial velocity to its initial acceleration, respectively, is:
2α : δ
γ : 2δ
4α : β
γ : 2β
Correct Answer
Detailed Explanation
The initial velocity is given by the derivative of x with respect to t, evaluated at t=0, which is γ. The initial acceleration is the second derivative of x with respect to t, evaluated at t=0, which is 2β. Thus, the ratio is γ : 2β.
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