The rational function 310t V(t)= t + 2 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 311t V(t) = t + 2 what is the difference in the distance covered in the first 5 seconds of the dragster's run? Round to 2 decimal places.

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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The rational function
310t
t + 2
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
311t
V (t)
=
V(t) =
t + 2
what is the difference in the distance covered in the first 5 seconds of the dragster's run? Round to 2 decimal
places.
Transcribed Image Text:The rational function 310t t + 2 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 311t V (t) = V(t) = t + 2 what is the difference in the distance covered in the first 5 seconds of the dragster's run? Round to 2 decimal places.
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