Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions and a UK A B a 2a (a) Which car is ahead after two minutes? O car A O car B t (min) Explain. O The area under curve A is greater than the area under curve B. O 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? O It is how much faster A is traveling than B after 2 minutes. O It is how much faster B is traveling than A after 2 minutes. O It is the distance by which A is ahead of B after 2 minutes. O It is the distance by which B is ahead of A after 2 minutes. (c) Which car is ahead after four minutes? O car A car B Explain. O The area under curve A is greater than the area under curve B. O The area under curve B is greater than the area under curve A. (d) Estimate the time t at which the cars are again side by side. min t =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Question
Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions and a = 2.
UK
A
B
a
2a
(a) Which car is ahead after two minutes?
O car A
O car B
Explain.
O The area under curve A is greater than the area under curve B.
O The area under curve B is greater than the area under curve A.
Submit Answer
t (min)
(b) What is the meaning of the area of the shaded region?
O It is how much faster A is traveling than B after 2 minutes.
O It is how much faster B is traveling than A after 2 minutes.
O It is the distance by which A is ahead of B after 2 minutes.
O It is the distance by which B is ahead of A after 2 minutes.
(c) Which car is ahead after four minutes?
O car A
car B
Explain.
O The area under curve A is greater than the area under curve B.
O The area under curve B is greater than the area under curve A.
(d) Estimate the time t 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 and a = 2. UK A B a 2a (a) Which car is ahead after two minutes? O car A O car B Explain. O The area under curve A is greater than the area under curve B. O The area under curve B is greater than the area under curve A. Submit Answer t (min) (b) What is the meaning of the area of the shaded region? O It is how much faster A is traveling than B after 2 minutes. O It is how much faster B is traveling than A after 2 minutes. O It is the distance by which A is ahead of B after 2 minutes. O It is the distance by which B is ahead of A after 2 minutes. (c) Which car is ahead after four minutes? O car A car B Explain. O The area under curve A is greater than the area under curve B. O The area under curve B is greater than the area under curve A. (d) Estimate the time t at which the cars are again side by side. t = min
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage