A hailstone of mass $4.8\times {10}^{-4}\text{ kg}$ is dropped from an initial height of 50 m and falls through the air, experiencing a net force (gravity plus drag) given by: $F=-mg+C{v}^2$ where $C=2.5\times 10-5\text{ kg/m}$.

1. Calculate the terminal speed of the hailstone using $v_t=\sqrt{\frac{mg}{C}}$.
2. Use Euler's method to find the speed and position of the hailstone as a function of time.
3. Plot the position of the hailstone as a function of time. How do you know that terminal velocity has been reached?
4. Plot the velocity of the hailstone as a function of time. Does this function agree with the position vs. time function? Remember that the slope of position vs time function is equal to the value of velocity vs time function. Did you reach the same terminal velocity that you calculated earlier?