Problem 72E

72. A particle moves along a horizontal line so that its coordinate at time $t$ is $x=\sqrt{b^{2}+c^{2} t^{2}}, t \geqslant 0$, where $b$ and $c$ are positive constants.

(a) Find the velocity and acceleration functions.

(b) Show that the particle always moves in the positive direction.

 

Step-by-Step Solution