The position (in meters) of a marble rolling up a long incline is given by s = 100t / t + 1, where t is measured in seconds and s = 0 is the starting point.

a. Graph the position function.

b. Find the velocity function for the marble.

c. Graph the velocity function and give a description of the motion of the marble.

d. At what time is the marble 80 m from its starting point?

e. At what time is the velocity 50 m/s?