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.
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
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