# Differential Equation Velocity TimeWatch

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#1
The (x,v) equation for a particle is v = 10 - 0.1x^2 for 0 < x < 10. Find the (t,x) equation, given that x = 0 when t = 0.

Since v = 0 when t = 0,

But my textbook says .
Last edited by esrever; 8 months ago
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#2
(Original post by esrever)
The (x,v) equation for a particle is v = 10 - 0.1x^2 for 0 < x < 10. Find the (t,x) equation, given that x = 0 when t = 0.

Since v = 0 when t = 0,

But my textbook says .
Update: I found the answer. Integral of 1/(10-x) is -ln(10-x).
Last edited by esrever; 8 months ago
0
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