If the acceleration, a(t), is given, integration can be used to derive v(t) and x(t). The follwing example is a case where the acceleration is a constant, does not change with time.
Example: The car traveles on the x axis with an acceleration of a=B where B isa postive constant. At ti=0 seconds, x=0 meters and v=0 meters/s.
Answer Questions 4 and 5 Please, Questions 1-3 have already been resolved.
1) Graph a(t) versus t
2) Find the equation for v(t)
3) Graph v(t) versus t
4) Now find the equation for x(t) versus t
5) Graph x(t) versus t