Two cars start at the same time and travel in the same direction along a straight road. The figure below gives the velocity, v, of each car as a function of time, t. v (km/hr) Car A Car B t (hr) (a) Which car attains the larger maximum velocity, and how do you know? O A, because the area under its velocity curve is smaller. O A, because the peak of its velocity curve is higher. A, because its velocity curve hits zero first. B, because the area under its velocity curve is larger. B, because the peak of its velocity curve is lower. OB, because its velocity curve hits zero second. (b) Which car stops first, and how do you know? O A, because the area under its velocity curve is smaller. O A, because the peak of its velocity curve is higher. O A, because its velocity curve hits zero first. O B, because the area under its velocity curve is larger. O B, because the peak of its velocity curve is lower. O B, because its velocity curve hits zero second. (c) Which car travels farther, and how do you know? O A, because the area under its velocity curve is smaller. O A, because the peak of its velocity curve is higher. A, because its velocity curve hits zero first. O B, because the area under its velocity curve is larger. O B, because the peak of its velocity curve is lower. OB, because its velocity curve hits zero second.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 12P: A student drives a moped along a straight road as described by the velocity-versus-time graph in...
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Two cars start at the same time and travel in the same direction along a straight road.
The figure below gives the velocity, v, of each car as a function of time, t.
v (km/hr)
Car A
Car B
t (hr)
(a) Which car attains the larger maximum velocity, and how do you know?
O A, because the area under its velocity curve is smaller.
O A, because the peak of its velocity curve is higher.
A, because its velocity curve hits zero first.
O B, because the area under its velocity curve is larger.
O B, because the peak of its velocity curve is lower.
O B, because its velocity curve hits zero second.
(b) Which car stops first, and how do you know?
O A, because the area under its velocity curve is smaller.
O A, because the peak of its velocity curve is higher.
O A, because its velocity curve hits zero first.
O B, because the area under its velocity curve is larger.
B, because the peak of its velocity curve is lower.
O B, because its velocity curve hits zero second.
(c) Which car travels farther, and how do you know?
O A, because the area under its velocity curve is smaller.
O A, because the peak of its velocity curve is higher.
A, because its velocity curve hits zero first.
O B, because the area under its velocity curve is larger.
O B, because the peak of its velocity curve is lower.
O B, because its velocity curve hits zero second.
Transcribed Image Text:Two cars start at the same time and travel in the same direction along a straight road. The figure below gives the velocity, v, of each car as a function of time, t. v (km/hr) Car A Car B t (hr) (a) Which car attains the larger maximum velocity, and how do you know? O A, because the area under its velocity curve is smaller. O A, because the peak of its velocity curve is higher. A, because its velocity curve hits zero first. O B, because the area under its velocity curve is larger. O B, because the peak of its velocity curve is lower. O B, because its velocity curve hits zero second. (b) Which car stops first, and how do you know? O A, because the area under its velocity curve is smaller. O A, because the peak of its velocity curve is higher. O A, because its velocity curve hits zero first. O B, because the area under its velocity curve is larger. B, because the peak of its velocity curve is lower. O B, because its velocity curve hits zero second. (c) Which car travels farther, and how do you know? O A, because the area under its velocity curve is smaller. O A, because the peak of its velocity curve is higher. A, because its velocity curve hits zero first. O B, because the area under its velocity curve is larger. O B, because the peak of its velocity curve is lower. O B, because its velocity curve hits zero second.
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