course Phy 201
I apologize that my work is out of order. I had done this work previously and saved it to my computer and I just got my internet fix yesterday.
Assign. 4, Version 7A bee is making a beeline for its hive. Its velocity is measured at a distance of 83 meters from the observer, when clock time is t = 3 sec and its velocity is 4 m/s, and again at clock time t = 8 sec. It it accelerates uniformly at .9 m/s/s during the time interval, then what is its velocity at t = 8 sec, and its average velocity during this time interval? How far is the bee from the observer at t = 8 sec?
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First we have to find the final distance. We do this by solving for x in the following equation provided in Chapter 2 Pg. 27 of the textbook.
X = 83 m + 4m/s(8s) + ½(.9 m/s^2)(8s)^2
= 83 m +32 m/s^2 +28.8 m/s^2
= 143.8 m
By solving for X we can now solve for the velocity at t=8 from another equation provided in chapter 2.
V^2 = (4m/s)^2 + 2(.9 m/s^2)(143.8 m – 83m)
= 16 m^2/s^2 + (1.8 m/s^2)(60.8 m)
= 16 m^2/s^2 + 109.44 m^2/s^2
Next take the square root of both sides and we get,
V = 11.2 m/s
- Therefore, the velocity at clock time t=8 seconds is 11.2 m/s.
- The average velocity is
vAve = `ds/`dt
= 11.2 m/s + 4 m/s / 2
= 22.4 m/s
- At clock time t=8 seconds the bee is 60.8 m from the observer; 143.8m-83m = 60.8m
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This looks good.
Let me know if you have questions.