A particle's position is described by the equation below.
(a) sketch the position as a function of time between 0 and 100 seconds. An online math program can be found at wolframalpha.com and can aid in plotting, math, etc. For example to plot x(t)=e^-t from t = 0 to 100, you would input the command: plot(exp(-t),t=0..100).
(b) What is the maximum position of the particle and at what time does this occur? (you must calculate this value and can use the plot to verify your answer)
(c) What is the velocity as a function of time for the particle?
(d) What is the acceleration as a function of time?