I need some help on this problem and limit, i have no idea how to complete it.

1. A train travels for 120 s between two stations. It accelerates for 30 s, maintains a constant velocity for 70 s, and brakes to a stop in 20 s. The velocity function v(t), with velocity measured in m/s, is defined as follows:

http://www.mathhelpforum.com/math-he...64936cfd-1.gif

http://www.mathhelpforum.com/math-he...819a8487-1.gif

http://www.mathhelpforum.com/math-he...da8cef9c-1.gif

Determine the total distance travelled by the train in the 120-second time interval.

2. What is the limit of http://www.mathhelpforum.com/math-he...1eca7abb-1.gif