3. A student is running to catch the campus shuttle bus, which is at a stopped at the bus stop. The student is running at a constant speed of 6.00 m/s; she can't run any faster. When the student is still 60.0 m from the bus, it starts to pull away. The bus moves with a constant acceleration of 0.180m/s. a) For how much time and how far does the student have to run before she overtakes the bus? b) When she reaches the bus, how fast is the bus traveling? c) If the student's constant speed is 4.00 m/s, does she catch the bus? d) What is the minimum speed the student must have to catch up with the bus? For what time and distance does she have to run in this case?

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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3. A student is running to catch the campus shuttle bus, which is at a stopped at the bus stop. The
student is running at a constant speed of 6.00 m/s; she can't run any faster. When the student is
still 60.0 m from the bus, it starts to pull away. The bus moves with a constant acceleration of
0.180m/s.
a) For how much time and how far does the student have to run before she overtakes the bus?
b) When she reaches the bus, how fast is the bus traveling?
c) If the student's constant speed is 4.00 m/s, does she catch the bus?
d) What is the minimum speed the student must have to catch up with the bus? For what time
and distance does she have to run in this case?
Transcribed Image Text:3. A student is running to catch the campus shuttle bus, which is at a stopped at the bus stop. The student is running at a constant speed of 6.00 m/s; she can't run any faster. When the student is still 60.0 m from the bus, it starts to pull away. The bus moves with a constant acceleration of 0.180m/s. a) For how much time and how far does the student have to run before she overtakes the bus? b) When she reaches the bus, how fast is the bus traveling? c) If the student's constant speed is 4.00 m/s, does she catch the bus? d) What is the minimum speed the student must have to catch up with the bus? For what time and distance does she have to run in this case?
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