Practice 1: In the picture below, the red graph represents the graph of a position function f(x) where x represents the time. We consider three points on the graph of f(x): Ala, f(a)), B(b, f(b)), and C(c, f(c)) position A(a.f(a)) b) The slope of the blue line represents C(c.f(c)) B(b.f(b)) a) Is the blue line a tangent or secant line to the graph of the function f(x)? (i) The average velocity from x=a to x=c. (ii) The instantaneous velocity at x=a? (iii) The instantaneous velocity at x = c? (iv) The average velocity from x=a to x=b. c) Is the green line a tangent or secant line? d) The slope of the green line represents (i) The average velocity from x=a to x=c. (ii) The instantaneous velocity at x=a? L time (iii) The instantaneous velocity at x=c? (iv) The average velocity from x=a to x=b.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2.1 Q1

Practice 1:
In the picture below, the red graph represents the graph of a position function f(x) where x
represents the time. We consider three points on the graph of f(x): A(a, f(a)), B(b, f(b)), and
C(c, f(c))
position
A(a.f(a))
b) The slope of the blue line represents
C(c,f(c))
B(b.f(b))
a) Is the blue line a tangent or secant line to the graph of the function f(x)?
(i) The average velocity from x=a to x=c.
(ii) The instantaneous velocity at x=a?
(iii) The instantaneous velocity at x=c?
(iv) The average velocity from x=a to x=b.
c) Is the green line a tangent or secant line?
d) The slope of the green line represents
L
time
(i) The average velocity from x = a to x=c.
(ii) The instantaneous velocity at x=a?
(iii) The instantaneous velocity at x=c?
(iv) The average velocity from x=a to x=b.
Transcribed Image Text:Practice 1: In the picture below, the red graph represents the graph of a position function f(x) where x represents the time. We consider three points on the graph of f(x): A(a, f(a)), B(b, f(b)), and C(c, f(c)) position A(a.f(a)) b) The slope of the blue line represents C(c,f(c)) B(b.f(b)) a) Is the blue line a tangent or secant line to the graph of the function f(x)? (i) The average velocity from x=a to x=c. (ii) The instantaneous velocity at x=a? (iii) The instantaneous velocity at x=c? (iv) The average velocity from x=a to x=b. c) Is the green line a tangent or secant line? d) The slope of the green line represents L time (i) The average velocity from x = a to x=c. (ii) The instantaneous velocity at x=a? (iii) The instantaneous velocity at x=c? (iv) The average velocity from x=a to x=b.
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