Answer to Question #246192 in Physics for Roba

Question

The motion of a particle along a straight line is described by the equation X=2t

Answer 1

I suppose, the question is to find the velocity and acceleration. Let the displacement be $x(t) = 2t$. By definition, the velocity is given as the first derivative of the displacement:

$$v(t) = x'(t) = (2t)' = 2 m/s$$

The acceleration is given as the second derivative of the displacement:

$$a(t) = x''(t) = (2t)'' = 0 m/s^2$$

Answer. Velocity: 2m/s, acceleration: 0 m/s^2.