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 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 3.2 s. What is its average acceleration?
A typical sneeze expels material at a maximum speed of 55.4 m/s. Suppose the material begins inside the nose at rest, 2.00 cm from the nostrils. It has a constant acceleration for the first 0.250 cm and then moves at constant velocity for the remainder of the distance.
A) What is the acceleration as the material moves the first 0.250 cm?
B) How long does it take to move the 2.00-cm distance in the nose?
C) Which of the following is the correct graph of vx(t) if the sneeze expels material at a maximum speed of 44.0 m/s and has a constant acceleration for the first 0.250 cm and then moves at constant velocity for the remainder of the distance?
Chapter 2 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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