Question

acceleration of particcle is given by a=3t the velocity will be at 2sec is​

Answer 1

Answer:

velocity of particle will be 6 m/s.

Explanation:

Given,

Acceleration of the particle is given by the equation,

a = 3t

or, dv / dt = 3t

initially,

or, ∫ dv =  ∫ 3t dt

or, ∫ dv = 3 ∫ t dt

or, v = 3 * (t² / 2)

then, at t = 2 sec,

v = 3 * (2²/2)

v = 3 * 4/2

v = 3*2

or, v = 6 m/s

Therefore, velocity of particle will be 6 m/s.

Answer 2

Acceleration of the particle is given by the equation,

a = 3t

or, dv / dt = 3t

initially,

or, ∫ dv =  ∫ 3t dt

or, ∫ dv = 3 ∫ t dt

or, v = 3 * (t² / 2)

then, at t = 2 sec,

v = 3 * (2²/2)

v = 3 * 4/2

v = 3*2

or, v = 6 m/s

• Therefore, velocity of particle will be 6 m/s.