A projectile is fired upward, and its velocity in m/s is given by v(t) = 200e^-t/10, for t ≥ 0.

a. Graph the velocity function for t ≥ 0.

b. When does the velocity reach 50 m/s?

c. Find and graph the position function for the projectile for t  ≥ 0, assuming s(0) = 0.

d. Given unlimited time, can the projectile travel 2500 m? If so, at what time does the distance traveled equal 2500 m?