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## 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

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.

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

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