Question

Acceleration of particle is varying with time as a = (2t + 1). If the particle starts with 3 m/s, then its velocity after 3 s will be:

a)3 m/s

b)12 m/s

c)15 m/s

d)18 m/s

Answer 1

Answer:

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Answer 2

Answer:

13.5m.

Explanation:

a = (2t + 1).

v = ∫adt = ∫(2t + 1).dt  = t² + t + k , 3 = 0 + 0 + k  , k = 3

v =  t² + t + 3

d =  ∫vdt = ∫t² + t + 3. dt = t³/3 + t²/2 + 3t + c , c = 0

d = t³/3 + t²/2 + 3t

d =3³/3 + 3²/2 + 3×3 = 13.5m.