Distance Traveled Two cars start from rest at a traffic light and accelerate for several minutes. The accompanying graph shows the speed of each car (in feet per second) as a function of time (in seconds). Car A is the one that initially has the greater speed." (a) How far has car A traveled after 2 seconds? (Hint: Use for- mulas from geometry.) (b) When is car A farthest ahead of car B? (c) Estimate the farthest that car A gets ahead of car B. For car A, use formulas from geometry. For car B, use n value of the function at the midpoint of each interval for the height of the rectangle. 4 and the (d) Give a rough estimate of when car B catches up with car A. 10 Car B 8+ 6+ Car A 4+ 2+ .5 1.5 2.5 3 3.5 Distance Traveled Tha

Distance Traveled Two cars start from rest at a traffic light and accelerate for several minutes. The accompanying graph shows the speed of each car (in feet per second) as a function of time (in seconds). Car A is the one that initially has the greater speed." (a) How far has car A traveled after 2 seconds? (Hint: Use for- mulas from geometry.) (b) When is car A farthest ahead of car B? (c) Estimate the farthest that car A gets ahead of car B. For car A, use formulas from geometry. For car B, use n value of the function at the midpoint of each interval for the height of the rectangle. 4 and the (d) Give a rough estimate of when car B catches up with car A. 10 Car B 8+ 6+ Car A 4+ 2+ .5 1.5 2.5 3 3.5 Distance Traveled Tha

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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Question

speed, in miles per hour, at time t, in seconds, when a car accelerates
from a dead stop. To find the total distance traveled by the car in reach-
Finally, multiply by 5280 feet per mile to convert the answers to feet.
have the number of miles that the car traveled in reaching 100 mph.
Use the graphs to estimate this distance by adding the areas of
per hour, divide by 3600 (the number of seconds in an hour). You then
function at the left side of the rectangle. To adjust your answer to miles
rectangles with width 5 seconds and whose height is the value of the
where T represents the number of seconds it takes for the car to reach
3
0.
Time (hours)
Distance Traveled Two cars start from rest at a traffic light and
accelerate for several minutes. The accompanying graph shows the
speed of each car (in feet per second) as a function of time (in
seconds). Car A is the one that initially has the greater speed."
(a) How far has car A traveled after 2 seconds? (Hint: Use for-
mulas from geometry.)
(b) When is car A farthest ahead of car B?
(c) Estimate the farthest that car A gets ahead of car B. For car A,
use formulas from geometry. For car B, use n =
value of the function at the midpoint of each interval for the
height of the rectangle.
4 and the
(d) Give a rough estimate of when car B catches up with car A.
10
Car B
8+
6 Car A
4.
+
1.5
.5
2.5 3
3.5
Distance Traveled The graphs for Exercises 29 and 30 show he
speed, in miles per hour, at time t, in seconds, when a car accelerates
from a dead stop. To find the total distance traveled by the car in reuen
ing 100 miles per hour, we must estimate the definite integral
v(t) dt,
0.
100 mph.
Use the graphs to estimate this distamce by adding the areuhe
function at the left side of the rectangle To adiust vour answer dhen
per
Finally, multiply by 5280 feet per mile to convert the answers
on
w.
* Based on an example giv
is

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