Question

The distance (x) travelled by a particle in time,t, is given by t =2x square + 3x .if 'v' is the velocity.then acceleration will be

Answer 1

Answer:

a = 4 m / sec ²

Explanation:

Given :

Distance ( x ) travelled by a particle in time t , is given by t =2 x ² + 3 x

First finding the velocity :

v = d s / d t

where s is displacement

v = 2 × 2 x + 3

v = 4 x + 3

Now finding acceleration

a = d v / d t

a = 4 + 0

a = 4 m / sec ²

Thus the acceleration of particle is  4 m / sec ².

Extra points :

Velocity is nothing but rate change of displacement with time .

Acceleration is nothing but rate change of velocity with time .

Velocity and acceleration both are vector quality .