Chapter 5, Problem 32P

To determine

To show: The skater's speed at any time $t$ after crossing the finish line is $v\left(t\right)=\frac{v_{\text{i}}}{\left(1+kt{v}_{\text{i}}\right)}$.

Introduction: Resistive force is defined as a force that restricts the velocity of the object or the sum of other forces. The direction of the resistive force is always opposite to the direction of the motion of object.