Chapter 5, Problem 22P

The curvilinear motion of a particle is defined by the following parametric equations:

$x=52t-9t^2\text{m}$

$y=\text{125}-\text{5}{t}^{\text{2}}\text{m}$

The velocity of the particle is given by

$v=\sqrt{v_x^2+v_y^2}$ , where $v_x=\frac{dx}{dy}$ and $v_y=\frac{dy}{dt}$.

For $0\le t\le 5$ s make one plot that showsthe position of the particle (y versus x) and a second plot (on the same page) of the velocity of the particle as a function of time. In addition, by using MATLAB’s mm function, determine the time at which the velocity is the lowest, and the corresponding position of the particle. Using an asterisk marker, show the position of the particle in the first plot. For time use a vector with spacing of 0.1 s.