Analytical Mechanics question


by Ed Quanta
Tags: analytical, mechanics
Ed Quanta
Ed Quanta is offline
#1
Jan28-04, 07:10 PM
P: 297
If some dude jumps into the ocean from a 10m diving board so that when he makes contact with the water F=-mg + cv^2 where c is some frictional constant, how do I solve for the velocity of the guy as a function of the depth under water? I am able to integrate so that I obtain velocity as a function of time and then integrate again so that I have the depth under water as a function of time, but I can't seem to get a nice function for velocity in terms of depth. I'm really bad with this stuff so I just thought Id throw the question out there.
Phys.Org News Partner Physics news on Phys.org
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
himanshu121
himanshu121 is offline
#2
Jan29-04, 06:19 AM
himanshu121's Avatar
P: 661
u can write

[tex]\frac{dv}{dt}=\frac{dx}{dt} * \frac{dv}{dx} = v \frac{dv}{dx}[/tex]


Register to reply

Related Discussions
a question about Analytical Mechanics Advanced Physics Homework 4
Analytical mechanics problem Advanced Physics Homework 4
analytical mechanics/vectors..help plz Introductory Physics Homework 1
analytical mechanics Classical Physics 1
New Forum for Analytical Mechanics? General Physics 1