Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions. VA A B 5 10 † (min) (a) which car is ahead after five minutes? O car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (b) What is the meaning of the area of the shaded region in the context of this problem? It is how much faster A is traveling than B after 5 minutes. It is how much faster B is traveling than A after 5 minutes. It is the distance by which A is ahead of B after 5 minutes. It is the distance by which B is ahead of A after 5 minutes. (c) which car is ahead after ten minutes? car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (d) Estimate the time t (in min) at which the cars are again side by side. t = min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions.
VA
A
B
5
10
† (min)
(a) which car is ahead after five minutes?
O car A
car B
Explain your reasoning.
The area under curve A is greater than the area under curve B.
The area under curve B is greater than the area under curve A.
(b) What is the meaning of the area of the shaded region in the context of this problem?
It is how much faster A is traveling than B after 5 minutes.
It is how much faster B is traveling than A after 5 minutes.
It is the distance by which A is ahead of B after 5 minutes.
It is the distance by which B is ahead of A after 5 minutes.
(c) which car is ahead after ten minutes?
car A
car B
Explain your reasoning.
The area under curve A is greater than the area under curve B.
The area under curve B is greater than the area under curve A.
(d) Estimate the time t (in min) at which the cars are again side by side.
t =
min
Transcribed Image Text:Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions. VA A B 5 10 † (min) (a) which car is ahead after five minutes? O car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (b) What is the meaning of the area of the shaded region in the context of this problem? It is how much faster A is traveling than B after 5 minutes. It is how much faster B is traveling than A after 5 minutes. It is the distance by which A is ahead of B after 5 minutes. It is the distance by which B is ahead of A after 5 minutes. (c) which car is ahead after ten minutes? car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (d) Estimate the time t (in min) at which the cars are again side by side. t = min
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