A student is running at her top speed of 5.2 m/s to catch a bus, which is stopped at the bus stop. When the student is still 40.2 m from the bus, it starts to pull away, moving with a constant acceleration of 0.179 m/s². (a) For how much time and what distance does the student have to run at 5.2 m/s before she overtakes the bus? (b) When she reaches the bus, how fast is the bus traveling? (c) If the student's top speed is 2.0 m/s, will she catch the bus? (d) What is the

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
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A student is running at her top speed of 5.2 m/s to catch a bus, which is stopped
at the bus stop. When the student is still 40.2 m from the bus, it starts to pull
away, moving with a constant acceleration of 0.179 m/s². (a) For how much
time and what distance does the student have to run at 5.2 m/s before she
overtakes the bus? (b) When she reaches the bus, how fast is the bus traveling?
(c) If the student's top speed is 2.0 m/s, will she catch the bus? (d) What is the
minimum speed the student must have to just catch up with the bus? (e) For
what time and what distance does she have to run in that case?
Transcribed Image Text:A student is running at her top speed of 5.2 m/s to catch a bus, which is stopped at the bus stop. When the student is still 40.2 m from the bus, it starts to pull away, moving with a constant acceleration of 0.179 m/s². (a) For how much time and what distance does the student have to run at 5.2 m/s before she overtakes the bus? (b) When she reaches the bus, how fast is the bus traveling? (c) If the student's top speed is 2.0 m/s, will she catch the bus? (d) What is the minimum speed the student must have to just catch up with the bus? (e) For what time and what distance does she have to run in that case?
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