4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function of time during the trip. 80 60 40 10 20 30 40 50 60 time (minutes) velocity (miles per hour) 20 (a) What is your velocity (in miles per hour) at the 50 minute mark of your trip? (b) What is the total distance (in miles) that you travel during the trip? (c) Did you travel further during the first 30 minutes or the last 30 minutes of the trip? (d) Draw a sketch of the total distance traveled (in miles) as a function of time spent on the road (in minutes) for the first half of the trip only (i.e. only for values of t with 0
4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function of time during the trip. 80 60 40 10 20 30 40 50 60 time (minutes) velocity (miles per hour) 20 (a) What is your velocity (in miles per hour) at the 50 minute mark of your trip? (b) What is the total distance (in miles) that you travel during the trip? (c) Did you travel further during the first 30 minutes or the last 30 minutes of the trip? (d) Draw a sketch of the total distance traveled (in miles) as a function of time spent on the road (in minutes) for the first half of the trip only (i.e. only for values of t with 0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function
of time during the trip.
80
60
40
10
20
30
40
50
60
time (minutes)
velocity (miles per hour)
20

Transcribed Image Text:(a) What is your velocity (in miles per hour) at the 50 minute mark of your trip?
(b) What is the total distance (in miles) that you travel during the trip?
(c) Did you travel further during the first 30 minutes or the last 30 minutes of the trip?
(d) Draw a sketch of the total distance traveled (in miles) as a function of time spent on
the road (in minutes) for the first half of the trip only (i.e. only for values of t with
0 <t< 30).
(e) The road you are driving on has a marker for every 10 miles you drive. You en-
counter the first of these markers after exactly 5 minutes of traveling. When will
you encounter the next marker?
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Step 1: Introduce to the given graph
VIEWStep 2: Determining the equation of velocity as a function time t.
VIEWStep 3: (a) Determining the velocity at 50 minute mark
VIEWStep 4: (b) Determining the distance equation during the trip
VIEWStep 5: (b) Calculating the integrals in equation 1
VIEWStep 6: (b) Determining the distance by solving equation 1
VIEWStep 7: (c) Determining the distance traveled during the first 30 minute and last 30 minute
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