Question

the velocity of a particle is given by v = 2t. Find the displacement at 3 seconds, If t = 0 the body is 2 meter behind the origin​

Answer 1

Explanation:

Velocity = 2t

• Integrating the above, we get

Displacement = t² + c

• c is constant
• Since the body is 2 meter behind the origin, when t = 0 , so

Displacement = t² - 2

• Put t = 3 to find the displacement

Displacement = 3² - 2 = 7