The rational function V (t) = 390t t +4 models the velocity, V (t), in miles per hour, of a dragster t seconds since it starts its quarter-mile run. The integral of the velocity function from time t = a to time t = b, gives the total distance traveled by the dragster through the time interval a to b. If the driver changes the dragster's velocity function from its current function to V (t) = = 391t t+4 what is the difference in the distance covered in the first 5 seconds of the dragster's run? Round to 2 decimal places. miles

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
Question
The rational function
V (t) =
390t
t +4
models the velocity, V (t), in miles per hour, of a dragster t seconds since it starts its quarter-mile run.
The integral of the velocity function from time t = a to time t = b, gives the total distance traveled by
the dragster through the time interval a to b. If the driver changes the dragster's velocity function from
its current function to
V (t) =
=
391t
t+4
what is the difference in the distance covered in the first 5 seconds of the dragster's run? Round to 2
decimal places.
miles
Transcribed Image Text:The rational function V (t) = 390t t +4 models the velocity, V (t), in miles per hour, of a dragster t seconds since it starts its quarter-mile run. The integral of the velocity function from time t = a to time t = b, gives the total distance traveled by the dragster through the time interval a to b. If the driver changes the dragster's velocity function from its current function to V (t) = = 391t t+4 what is the difference in the distance covered in the first 5 seconds of the dragster's run? Round to 2 decimal places. miles
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