Chapter 1, Problem 18P

The velocity is equal to the rate of change of distance $x\left(\text{m}\right)$,

$\frac{dx}{dt}=v\left(t\right)$ (P1.18)

(a) Substitute Eq. (1.10) and develop an analytical solution for distance as a function of time. Assume that $x\left(0\right)=0$.

(b) Use Euler's method to numerically integrate Eqs. (P1.18) and (1.9) in order to determine both the velocity and distance fallen as a function of time for the first 10 s of free-fall using the same parameters as in Example 1.2.

(c) Develop a plot of your numerical results together with the analytical solution.