Question

A particle is moving along the x-axis whose acceleration is given by a = 3x - 4. where x is the
location of the particle. At t = 0, the particle is at rest at x = 4/3 m. The distance travelled by the
particle in 5 s is
(C) Infinite
(A) Zero
(B) 42 m
(D) None of these​

Answer 1

Answer:

Option (A) Zero

Explanation:

Acceleration of the particle is given by

a = 3x - 4

at t = 0, v = 0 (since the particle is at rest)

Also, at t = 0, the particle is at position x = 4/3

Therefore, acceleration at t = 0 will be

a = 3×4/3 - 4 = 4 - 4 = 0

Thus we find that at t = 0, the particle is at rest and its acceleration is also zero

Therefore, the particle will never take off i.e. it will never start a journey

Thus, the particle will remain at rest at time t = 5 seconds.

Hope this is helpful.

Answer 2

Explanation:

i hope this will help you guys