The distance s in metres covered by a particle in t seconds is (s = frac{3}{2}t^{2} – 3t). Find its acceleration.
-
A.
(1 ms^{-2}) -
B.
(2 ms^{-2}) -
C.
(3 ms^{-2}) -
D.
(4 ms^{-2})
Correct Answer: Option C
Explanation
The two time differentiation of distance with respect to time will give the acceleration.
(s = frac{3}{2}t^{2} – 3t)
(frac{mathrm d s}{mathrm d t} = v = 3t – 3)
(frac{mathrm d v}{mathrm d t} = a = 3)