Question

The velocity of a particle is at any time related to the
distance travelled by the particle by the relation v = ax + b,
where a is positive and b<=a/2 Which of the following
statements will be true for this motion? (given x = 0 when t
= 0)

The displacement of the particle at time is x=b/a (e^at -1)
The particle will experience a retardation if b < 0
The particle will be at rest at time t = 0
The motion of the particle is under constant acceleration.​

Answer 1

Answer:

We know that v=

dt

dS

Integrating, S=∫

t=1

t=2

vdt=∫

1

2

(At+Bt

2

)dt=A/2(2

2

−1)+B/3(2

3

−1)=

2

3

A+

3

7

B