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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 4CYU
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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
Transcribed Image Text: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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