Question

The displacement of a body is given by the equation X(t)=3t²+2t . It's velocity at time t = 2 second is _____metre per seconds

Answer 1

Answer:

here is the answer.....

Answer 2

Answer:

Given –

• x(t) = 3t² + 2t.

To prove –

• Instantaneous velocity at 2 second of time.

Solution –

v_inst = ds/dt = 2*3t + 2 = 6t + 2.

Hence, the velocity at the instance of 2 second is :

➸ 6(2) + 2

➸ 12 + 2

➸ 14 m/s

Hence, at the instance of 2 second, the the velocity of the body is 14 m/s.

SOME TERMS :–

• Distance is the total length of the path travelled by a body.
• Distance is a scalar quantity.
• Displacement is the shortest length of distance between initial position of the body and the final position of the body.
• Displacement is a vector quantity.
• Speed is rate of change of distance.
• It is a scalar quantity.
• Velocity is rate of change of displacement.
• It is a vector quantity.
• Acceleration is rate of change of velocity.
• Instantaneous velocity is said to be the velocity of the body at an instance of time.