Richard P
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 Sep 13 awarded Critic Mar 29 comment Integrating for velocity Very true. Thanks for the insight. Mar 29 comment Integrating for velocity In this case that is correct. But, only because gravity is a conservative force. In my opinion, the mathematical approach is more appropriate here as it always works, and this is also mathematics stackexchange, not physics. Mar 29 comment Integrating for speed Cross-posted from math.stackexchange.com/q/731741 Mar 29 answered Integrating for velocity Feb 4 accepted Experimental methods for finding London penetration depth Jan 27 comment What is the frictional force of this car? I completely agree with you, the way the OQ is worded required me to make significant assumptions, including that the surface is horizontal. In saying that it is the only significant force, I meant that it is the only force contributing to the measured acceleration. Definitely could have worded it a bit better. Jan 27 answered What is the frictional force of this car? Jan 27 revised What is the frictional force of this car? Format eqns Jan 26 suggested approved edit on What is the frictional force of this car? Jan 26 awarded Custodian Jan 26 reviewed Approve Experimental methods for finding London penetration depth Jan 26 asked Experimental methods for finding London penetration depth Jan 25 answered HOMEWORK: Minimum angle to start the mop moving Oct 15 awarded Supporter Jan 22 awarded Scholar Jan 22 accepted Dynamics of a Vertical Mass-Spring Simple Harmonic Oscillator with Gravity Jan 17 awarded Editor Jan 17 revised Dynamics of a Vertical Mass-Spring Simple Harmonic Oscillator with Gravity edited body Jan 17 comment Dynamics of a Vertical Mass-Spring Simple Harmonic Oscillator with Gravity According to my coordinate system, the vertical displacement at time zero is equal to zero. So, should the phase $\phi$ not also equal zero? If so, my solution is equal to the one described by you. Or, is my coordinate system inherently flawed?