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 time Omi Ohr 1.5hr 0.5hr 1hr 2hr 2.5hr Зhr 3.5hr 4hr (a) Estimate 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 o mi/hr. Over [2.5, 3.5], the average velocity is approximately mi/hr. (b) Estimate the bicyclist's instantaneous velocity at the following times. At t = 1/2 hour, the instantaneous velocity is approximately mi/hr. 2 hours, the instantaneous velocity is approximately At t mi/hr. At t = 3 hours, the instantaneous velocity is approximately mi/hr. (c) Estimate the bicyclist's maximum velocity and the specific time at which it occurs. The maximum velocity is approximately mi/hr, which occurs when t 2 hr.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Topic Video
Question

I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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
time
Omi
Ohr
1.5hr
0.5hr
1hr
2hr
2.5hr
Зhr
3.5hr
4hr
(a) Estimate 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 o
mi/hr.
Over [2.5, 3.5], the average velocity is approximately
mi/hr.
(b) Estimate the bicyclist's instantaneous velocity at the following times.
At t = 1/2 hour, the instantaneous velocity is approximately
mi/hr.
2 hours, the instantaneous velocity is approximately
At t
mi/hr.
At t =
3 hours, the instantaneous velocity is approximately
mi/hr.
(c) Estimate the bicyclist's maximum velocity and the specific time at which it occurs.
The maximum velocity is approximately
mi/hr, which occurs when t 2
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 time Omi Ohr 1.5hr 0.5hr 1hr 2hr 2.5hr Зhr 3.5hr 4hr (a) Estimate 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 o mi/hr. Over [2.5, 3.5], the average velocity is approximately mi/hr. (b) Estimate the bicyclist's instantaneous velocity at the following times. At t = 1/2 hour, the instantaneous velocity is approximately mi/hr. 2 hours, the instantaneous velocity is approximately At t mi/hr. At t = 3 hours, the instantaneous velocity is approximately mi/hr. (c) Estimate the bicyclist's maximum velocity and the specific time at which it occurs. The maximum velocity is approximately mi/hr, which occurs when t 2 hr.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax