Question
Download Solution PDFIn some appropriate units, time (t) and position (x) relation of a moving particle is given by t = x² + x.
The acceleration of the particle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCorrect option is: (2) −2 / (2x + 1)3
t = x2 + x
We have
dt/dx = 2x + 1
⇒ v = dx/dt = 1 / (2x + 1)
⇒ dv/dx = −2 / (2x + 1)2
⇒ a = v × dv/dx = [1 / (2x + 1)] × [−2 / (2x + 1)2]
= −2 / (2x + 1)3
Last updated on Jun 16, 2025
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