Question

6.
(3) (0, -0.4) m/s2
(4) (0, 0.2) m/s2
The acceleration time graph of a particle moving
along straight line is as shown in the figure. What
is the velocity of the particle at t=8 sec, if initial
velocity of particle is 3 m/s?
a(m/s)
14
4
8
t(s)
0
-1
(1) 4 m/s
(2) 5 m/s
(3) 1 m/s
(4) 7 m/s​

Answer 1

Given : V

i

=2m/s at t=0 s

Let V

f

be the velocity of the particle at t=4 s

Area under the a-t graph gives the change in velocity of the particle during that period.

∴ ΔV=V

f

−V

i

=

2

1

×4×4=8

OR V

f

−2=8 ⟹V

f

=10m/s