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vela replied to the thread How do I derive an expression for the velocity vector for any α?.You have $$a = v \frac{dv}{dx}$$ where ##x## is the displacement. As the block initially moves to the right, you have ##x=s##, so the... -
vela replied to the thread How do I derive an expression for the velocity vector for any α?.I assume you're troubled by the fact that when ##\alpha > \pi##, the expression you derived gives you ##v^2<0##. When ##\alpha = \pi##... -
vela replied to the thread Distance between a Clock's hands when the distance is increasing most rapidly.Consider which way the velocity of the hour hand's tip points at that moment. -
vela replied to the thread Distance between a Clock's hands when the distance is increasing most rapidly.Without that assumption, the answer would depend on the particulars of how you model the movement of the hands. How could you answer the... -
vela replied to the thread Why do we spend so little time learning grammar in college?.It's more convincing to note that Dave's sentence could have been rewritten as "I am embarrassed to say you make a good point." -
vela replied to the thread Why do we spend so little time learning grammar in college?.One time, some punk made a comment about how grammar wasn't important because we understood what he meant. My English professor friend... -
vela reacted to phinds's post in the thread Why do we spend so little time learning grammar in college? with
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@sevensages I have read this thread with some amusement. I am a grammar Nazi, and as some on this forum know, I often correct people's... -
vela replied to the thread Some thoughts about self-education.One thought that occurs to me is that virtually all learning is self-learning. If you enroll in a course and listen to the lectures but... -
vela replied to the thread Volume with spherical coordinates.I'm pretty sure the OP means the surface in R3 defined by ##\theta = \pi/3## in spherical coordinates, which is a cone, and the sphere... -
vela replied to the thread Engineering Why wasn’t gravity included in the potential energy for this problem?.Given the method, I think you should include the potential energy due to gravity (though you should've had ##-mgx##). It feels a bit...