Suppose a particle's position is given by $f(t)=\sqrt[\phantom{2}]{t3},$ where $t$ is measured in seconds and $f(t)$ is given in centimeters. What is the velocity of the particle when $t=1?$

$\frac{1}{2}c\frac{m}{sec}$

$\frac{1}{4}c\frac{m}{sec}$

$2c\frac{m}{sec}$

$-\frac{1}{2}c\frac{m}{sec}$

None of these