Question

Starting from rest, the acceleration of a particle is
2(t-1)m/s2. The velocity of the particle at
t = 5 s is :-
(1) 15 m/s
(2) 25 m/s
(3) 5 m/s
(4) None of these​

Answer 1

Answer: (1)15 m/s

Explanation:

a=2(t−1)  =2t−2

dv/dt = 2t-2

​dv=(2t−2)dt

integrating both side we get,

∫dv=∫(2t−2)dt

v=t  ^2  −2t+c

=(5)  ^2  −2×5

=25−10

=15m/s