O Find the time taken by the walker to cyclist leaves A at the same instant as t essing through Bat the same instant as t here k is a constant. ) Show that whent= 64.05 the spee 3 significant figures. ) Find the cyclistr's acceleration at the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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5. A walker travels along a straight road passing through the points A and B on the road with speeds 0.9 ms and
1.3 ms- respectively. The waker's acceleration between A and Bis constant and equal to 0.004 ms.
(1) Find the time taken by the walker to travel from A to B, and find the distance AB.
A cyclist leaves A at the same instant as the walker. She starts from rest and travels along the straight road,
passing through B at the same instant as the walker. At time ts after leaving A the cydist's speed is kt' ms,
where k is a constant.
(H) Show that whent = 64.05 the speed of the walker and the speed of the cyclist are the same, correct to
3 significant figures.
(HH) Find the cyclist's acceleration at the instant she passes through B.
Transcribed Image Text:5. A walker travels along a straight road passing through the points A and B on the road with speeds 0.9 ms and 1.3 ms- respectively. The waker's acceleration between A and Bis constant and equal to 0.004 ms. (1) Find the time taken by the walker to travel from A to B, and find the distance AB. A cyclist leaves A at the same instant as the walker. She starts from rest and travels along the straight road, passing through B at the same instant as the walker. At time ts after leaving A the cydist's speed is kt' ms, where k is a constant. (H) Show that whent = 64.05 the speed of the walker and the speed of the cyclist are the same, correct to 3 significant figures. (HH) Find the cyclist's acceleration at the instant she passes through B.
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