If you need to modify an existing program for another part, copy it and modify the copy.

From the Projectile Motion activity, you did curve fits that gave you the x and y components of the

position, the velocity, and the acceleration. Then you deployed that technique to do curve fits for your car as

it rolled across the floor. ANSWER IN V PYTHON

a$.$ Write a simulation of your car as it rolled across the floor based on the kinematic values from the

curve fits you did for it$.$ Do your simulation in two dimensions since your vehicle moved in two

dimensions, and use your data from before you optimized it$.$

b$.$ Add graphs showing the components of the position and the velocity. On the same graphs, plot your

curve fits from Projectile Motion and verify they are the same as your simulation.

As your spaceship coasts toward Mars, you need to move a heavy load along a hallway that has a $90$ right

turn without hitting the walls, ceiling or floor. You do this remotely, using devices attached to the load that

can be programmed to fire bursts of compressed air for up to $1\mathrm{.}0$ s in any direction. While doing so$,$ the

devices produce an acceleration whose magnitude is $0\mathrm{.}017\frac{m}{s^2}.$ The center of the load has to move $3$ m

along the first section of hallway starting from rest. Then it must turn and move $4$ m along the second

section, ending at rest. Using just three blasts of compressed air, write a simulation you can use to determine

the times these blasts should be scheduled, their durations and directions. How long does it take to complete

the entire move?

One of the first project activities we did was to roll your cart down a ramp and let it roll to a stop. Create a

VPython simulation of this experiment that models your particular design. If you did not record the angle

you used, then use $5$ degrees. Your program should model both the motion down the ramp as well as along

the floor. You will use the stopping distance to determine the acceleration produced by friction with the floor.

If you did not measure your stopping distance, then use $5$ m $.$

One neat thing you can do with VPython objects is set the Trails attribute for an object. That will leave a

series of dots behind the object at regular time intervals giving you a little motion diagram. See the help

section on $3$ D objects to see how to do this.

Your program should produce graphs of the kinematic variables vs$.$ time. This means $3$ graphs: both

components of: position, velocity, acceleration.