If a particle moves in a fixed direction, the motion of this type is called rectilinear motion or on

Question

If a particle moves in a fixed direction, the motion of this type is called rectilinear motion or one dimensional motion. The motion of a particle along a straight line is described by the equation : $x=6+4 t^2-t^4$ where $x$ is in metres and $t$ is the time in seconds.\ Expression for velocity of the particle is

Professor PC Thomas Classes · Answer

(b) : As $x=6+4 t^2-t^4 \Rightarrow v=\frac{d x}{d t}=8 t-4 t^3$