create a script called particle_motion.py

The curvilinear motion (in meters) of a particle is defined by the following parametric equations:

x = 52t - 9t^2 and y = 125 - 5t^2

The velocity of the particle (in meters/second) is given by:

v = sqrt v_x^2 + v_y^2, vx=dx/dt and vy= dy/dt

For 0 t 5 s make two plots...

• One that shows the position of the particle (x,y)
• A second that shows the velocity of the particle as a function of time
• The plots should be vertically stacked with the position plot on top
• Use .subplots() when creating the figure in this script
• Use the built-in min() function to determine the lowest velocity
• Also use the .index() list method together with the min() function to find the time of the minimum velocity
• Use this information to also find the x and y positions that correspond to the minimum velocity
• Plot details
  • 0.1 second time step
  • Stacked subplots: position plot on top and velocity plot on the bottom
  • Appropriate axes labels with units on both plots
  • Descriptive title above the top plot only
  • Plot line widths of 2
  • Position plot line blue and velocity plot line red
  • Red circles (use 'ro') at the location of the minimum velocity...
    • On the position subplot
    • On the velocity subplot
• Printed results
  • Use nicely formatted print() statements to display...
    • The minimum velocity
    • Time that the minimum velocity occurs
    • The x,y location at which the minimum velocity occurs
  • Display each of the results...
    • With exactly 2-decimal places
    • Include the appropriate units