Question

Starting from rest a particle moves with acceleration a = (2 + 2t) m/s? The velocity of particle at the
end of 2 second will be
(B) 8 m/s
(C) 10 m/s
(D) 12 m/s​

Answer 1

Answer:

a) 6 m/s

Explanation:

Warning: This includes the use of calculus

:)

( S = INTERGATION OF)

u = 0

v = v

a = 2+2t

t = 0 ------> 2 sec

a = dv/dt

a.dt = dv

(t =0 to t = 2) S(2+2t).dt = (v=0 to v=v) Sdv

2t + t^2/2 = V -------(1)

Substituting t =2 in 1

2x2 + 2^2/2 = v

4+2 = V

V= 6 m/s