Equation of displacement for any particle is s = 3{t^3} + 7{t^2} + 14t + 8m . Its acceleration at ti

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2.Motion in Straight Line

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Equation of displacement for any particle is $s = 3{t^3} + 7{t^2} + 14t + 8m$. Its acceleration at time $t = 1\, sec $ is.......$ms^{-2}$

A

$10$

B

$16$

C

$25$

D

$32$

(AIPMT-2000)

Solution

(d) $s = 3{t^3} + 7{t^2} + 14t + 8\;m$

$a = \frac{{{d^2}s}}{{d{t^2}}} = 18t + 14$ at $t = 1\;\sec \Rightarrow a = 32m/{s^2}$

Standard 11

Physics

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