Question

: A particle is moving rectilinearly with a time varying acceleration a = 4+2t, where a is in
m/s and t is in sec. If the particle is starting its motion with a velocity of –3 m/s from x =
0. Draw a-t, v-t and x-t curve for the particle.
​

Answer 1

Answer:

a=4−2x

a=vdv/dx

vdv=(4−2x)dx

Integrating from x = 0 to x = x1 where particle will come to instantaneous rest again,

[v

2

/2]=[4x−x

2

]

0−0=4x

1

−x

1

2

x

1

=4m .