Question

If the displacement of a particle varies with time as under rootx = t + 7, then
(1) Velocity of the particle is inversely proportional
to t
(2) Velocity of the particle is proportional to t
(3) Velocity of the particle is proportional to it
(4) The particle moves with constant acceleration
land​

Answer 1

Answer:

the particle moves with constant acceleration.

Explanation:

as the equation tell's about the displacement x, we first square it to the both sides we get

$x = ({t + 3})^{2}$

now if differentiate the the (x) we get the velocity , which is

$v = 2(t + 3)$

as we can clearly see tht velocity is not proportional to t as it has additional 3

and if we differentiate again we get the acceleration which is 2

hence the acceleration is constant