The Fundamental Theorem of Calculus
Integrating the Velocity Function Examples
Suppose JoJo was driving 30 mph at 5 pm and 40 mph at 7 pm. How far did she travel between 5 and 7 pm?
The velocity of a racing snail, in feet per second, is given below.
How far does the racing snail travel
(a) from t = 0 to t = 10 seconds?
(b) from t = 10 to t = 15 seconds?
(c) from t = 15 to t = 25 seconds?
(d) from t = 0 to t = 25 seconds?
A bug moves along a numberline with velocity v(t) in units per second given by the graph below.
If the bug is at 3 on the numberline when t = 0 seconds, where is the bug when
(a) t = 3 seconds?
(b) t = 5 seconds?