The graph below shows the total distance s, in miles, traveled by a bicyclist after t hours. 40mi distance 35mi 30mi 25mi 20mi 15mi 10mi 5mi Omi time Ohr 0.5hr i1hr 1.5hr 2hr 2.5hr 3hr 3.5hr 4hr Note: for all of the tasks below, your responses should be integers. (a) Approximate the bicyclist's average velocity over the following time intervals. Over (0, 1), the average velocity is approximately 15 mi/hr. Over [1, 2.5], the average velocity is approximately 0 mi/hr. Over [2.5, 3.5), the average velocity is approximately 0 mi/hr. (b) Approximate the bicyclist's instantaneous velocity at the following times. At t = 1/2 hour, the instantaneous velocity is approximately 15 mi/hr. At t = 2 hours, the instantaneous velocity is approximately 0 mi/hr. At t = 3 hours, the instantaneous velocity is approximately 30 mi/hr.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The graph below shows the total distance s, in miles, traveled by a bicyclist after t hours.
40mi distance
35mi
30mi
25mi
20mi
15mi
10mi
5mi
Omi
time
Ohr
0.5hr
1hr
1.5hr
2hr
2.5hr
3hr
3.5hr
4hr
Note: for all of the tasks below, your responses should be integers.
(a) Approximate the bicyclist's average velocity over the following time intervals.
Over [0, 1], the average velocity is approximately 15
mi/hr.
Over [1, 2.5], the average velocity is approximately 0
mi/hr.
Over [2.5, 3.5], the average velocity is approximately 0
mi/hr.
(b) Approximate the bicyclist's instantaneous velocity at the following times.
At t = 1/2 hour, the instantaneous velocity is approximately 15
mi/hr.
At t = 2 hours, the instantaneous velocity is approximately 0
mi/hr.
At t = 3 hours, the instantaneous velocity is approximately 30
mi/hr.
Transcribed Image Text:The graph below shows the total distance s, in miles, traveled by a bicyclist after t hours. 40mi distance 35mi 30mi 25mi 20mi 15mi 10mi 5mi Omi time Ohr 0.5hr 1hr 1.5hr 2hr 2.5hr 3hr 3.5hr 4hr Note: for all of the tasks below, your responses should be integers. (a) Approximate the bicyclist's average velocity over the following time intervals. Over [0, 1], the average velocity is approximately 15 mi/hr. Over [1, 2.5], the average velocity is approximately 0 mi/hr. Over [2.5, 3.5], the average velocity is approximately 0 mi/hr. (b) Approximate the bicyclist's instantaneous velocity at the following times. At t = 1/2 hour, the instantaneous velocity is approximately 15 mi/hr. At t = 2 hours, the instantaneous velocity is approximately 0 mi/hr. At t = 3 hours, the instantaneous velocity is approximately 30 mi/hr.
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