Question #246192
The motion of a particle along a straight line is described by the equation X=2t
1
Expert's answer
2021-10-03T16:17:09-0400

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


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

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


a(t)=x(t)=(2t)=0m/s2a(t) = x''(t) = (2t)'' = 0 m/s^2

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


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