Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a way that the distance (in meters) traveled is given by f(t) = 2t² for 0 st of the surfer at t = // ≤ 1, where t is in seconds. Find the velocity (1) sec. To find the velocity we use the limits √(-/-) = lim t→ 1/5 The value for the velocity is (-) = = 4/5 X m/sec symbolic formatting help lim t→ 1/5 The first blank should contain the expression used to define velocity, the second a simplified expression whose denominator has a non-zero limit at your value of a. None of your answers should contain the letter a. (Note: sec2 = sec²). 4t X

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a way that the distance (in meters) traveled is given by f (t) = 2t² for 0 ≤ t
≤ 1, where t is in seconds. Find the velocity v of the surfer at t = -
sec.
To find the velocity we use the limits
(-/-) =
lim
t→ 1/5
The value for the velocity is
(-/-) =
= 4/5
m/sec
symbolic formatting help
lim
t→ 1/5
The first blank should contain the expression used to define velocity, the second a simplified expression whose denominator has a non-zero limit at your value of a. None of
your answers should contain the letter a.
(Note: sec2 = sec²).
4t
X
Transcribed Image Text:Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a way that the distance (in meters) traveled is given by f (t) = 2t² for 0 ≤ t ≤ 1, where t is in seconds. Find the velocity v of the surfer at t = - sec. To find the velocity we use the limits (-/-) = lim t→ 1/5 The value for the velocity is (-/-) = = 4/5 m/sec symbolic formatting help lim t→ 1/5 The first blank should contain the expression used to define velocity, the second a simplified expression whose denominator has a non-zero limit at your value of a. None of your answers should contain the letter a. (Note: sec2 = sec²). 4t X
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