Catching the Bus. A student is running at her top speed of 5.0 m/s to catch a bus, which is stopped at the bus stop. When the student is still 40.0 m from the bus, it starts to pull away, moving with a constant acceleration of 0.170 m/s 2 . (a) For how much lime and what distance does the student have to run at 5.0 m/s before she overtakes the bus? (b) When she roaches the bus, how fast is the bus traveling? (c) Sketch an x-t graph for both the student and the bus. Take x = 0 at the initial position of the student, (d) The equations you used in part (a) to find the time have a second solution, corresponding to a later time for which the student and bus are again at the same place if they continue their specified motions. Explain the significance of this second solution. How fast is the bus traveling at this point? (e) If the student’s top speed is 3.5 m/s. will she catch the bus? (f) What is the minimum speed the student must have to just catch up with the bus? For what time and w hat distance does she have to run in that case?
Catching the Bus. A student is running at her top speed of 5.0 m/s to catch a bus, which is stopped at the bus stop. When the student is still 40.0 m from the bus, it starts to pull away, moving with a constant acceleration of 0.170 m/s 2 . (a) For how much lime and what distance does the student have to run at 5.0 m/s before she overtakes the bus? (b) When she roaches the bus, how fast is the bus traveling? (c) Sketch an x-t graph for both the student and the bus. Take x = 0 at the initial position of the student, (d) The equations you used in part (a) to find the time have a second solution, corresponding to a later time for which the student and bus are again at the same place if they continue their specified motions. Explain the significance of this second solution. How fast is the bus traveling at this point? (e) If the student’s top speed is 3.5 m/s. will she catch the bus? (f) What is the minimum speed the student must have to just catch up with the bus? For what time and w hat distance does she have to run in that case?
Catching the Bus. A student is running at her top speed of 5.0 m/s to catch a bus, which is stopped at the bus stop. When the student is still 40.0 m from the bus, it starts to pull away, moving with a constant acceleration of 0.170 m/s2. (a) For how much lime and what distance does the student have to run at 5.0 m/s before she overtakes the bus? (b) When she roaches the bus, how fast is the bus traveling? (c) Sketch an x-t graph for both the student and the bus. Take x = 0 at the initial position of the student, (d) The equations you used in part (a) to find the time have a second solution, corresponding to a later time for which the student and bus are again at the same place if they continue their specified motions. Explain the significance of this second solution. How fast is the bus traveling at this point? (e) If the student’s top speed is 3.5 m/s. will she catch the bus? (f) What is the minimum speed the student must have to just catch up with the bus? For what time and w hat distance does she have to run in that case?
A racing car is used to test its suspensions and brakes. in a manufacture process. Itis raced and
jumped over a ramp. It flies and further on lands at a speed of 44.4m/s. It then slows down at a
rate of 15m/s?. How much road is required to bring the car to a complete stop? The car lands 70
meters away from a nearby beach. Will the car run into water?
A high performance sports car goes from 0 to 100 mph (44.7 m/s) in 7.2s.
A) What is the car’s average acceleration?
B) The same car can come to a complete stop from 34 m/s in about 3.7s. What is its Average Acceleration?
A high-performance sports car can go from 0 to 100 mph (44.7 m/s) in 7.9s.
a) What is the car's average acceleration?
b) The same car can come to a complete stop from 30 m/s in about 3.2s. What is its average acceleration?
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
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