Question 161: Motion in 1D

Question

Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is

Accepted Answer

Given, s = (3t
3
+ 7t
2
+ 14t + 8)
$${{ds} \over {dt}}$$ = 9t
2
+ 14t + 14
$${{{d^2}s} \over {d{t^2}}}$$ = 18t + 14
$$a$$ = 18t + 14
At t = 1, a = 18 $$ 	imes $$ 1 + 14 = 32 m/s
2

Answer

10 m/s2

Answer

32 m/s2

Answer

23 m/s2

Answer

16 m/s2

Motion in 1D

Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is

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