1. 2.1 Tangents & Velocities

3. Secant Line: a line that intersects a curve at two points, P & Q
Secant Line: a line that intersects a curve at two points, P & Q. Slope = Average Rate of Change between P & Q

4. Tangent Line: a line that intersects a curve at a point P & whose slope approximates the behavior of the curve at or very close to point P. Slope = Instantaneous Rate of Change at P

5. Average Velocity: the slope of the secant line between two points, P & Q, on a position curve.

6. Instantaneous Velocity: the slope of the tangent line to a point P on a position curve.

7. Ex 1:
t: sec 1 2 3 4 5
s(t): ft 10 32 70
119
178
Use the data to calculate the slope of the secant line between each of the given points and the point: (3, 70).

8. Ex 1:
Graph the data
Estimate the slope of the tangent t = 3 sec
From secant lines
From graph
Find the equation of the tangent t = 3 sec

9. HW – pg. 89 #1 – 7 odds