## Exploration 2.5: Determine x(t) and v(t) of the Lamborghini

x(t) =

 Animation 1a Animation 2a Animation 3a Animation 4a

a. Find the position of the toy Lamborghini as a function of time, x(t), for each animation (position is given in centimeters and time is given in seconds)Restart.  Note that the graph depicts the position as a function of time.  Use the "check function" button to see the actual position vs. time graph and use this as a guide for your analysis.

Remember to use the proper syntax such as: -10+0.5*t,  -10+0.5*t*t, or  -10+0.5*t^2. Revisit Exploration 1.3 to refresh your memory.

v(t) =

 Animation 1b Animation 2b Animation 3b Animation 4b

b. Find the velocity of the toy Lamborghini as a function of time, v(t), for each animation (position is given in centimeters and time is given in seconds).  Use the "check function" button to see the actual velocity vs. time graph and use this as a guide for your analysis.  (If you have taken calculus, this exercise should be particularly straightforward.)