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Chapter 2: Q7PE (page 82)
The North American and European continents are moving apart at a rate of about . At this rate how long will it take them to drift farther apart than they are at present?
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An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2as it goes through. The station is 210m long.
(a) How long is the nose of the train in the station?
(b) How fast is it going when the nose leaves the station?
(c) If the train is130 m, when does the end of the train leave the station?
(d) What is the velocity of the end of the train as it leaves?
There is a distinction between average speed and the magnitude of average velocity. Give an example that illustrates the difference between these two quantities.
Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain.
a) A light-rail commuter train accelerates at a rate of\({\bf{1}}{\bf{.35}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\). How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of\({\bf{1}}{\bf{.65}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\). How long does it take to come to a stop from its top speed? (c) In emergencies the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency deceleration in\({\bf{m/}}{{\bf{s}}^{\bf{2}}}\)?
If a subway train is moving to the left (has a negative velocity) and then comes to a stop, what is the direction of its acceleration? Is the acceleration positive or negative?
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