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anonymous

  • 4 years ago

Can anyone help me solve the differential eqn dv/dt= -8v^2? I have done this repeatedly, and none of my answers work

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  1. anonymous
    • 4 years ago
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    What do you need to solve?

  2. anonymous
    • 4 years ago
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    My question asks, Find the velocity function v(t) if at time t=0, the body is traveling at 94 m/s

  3. anonymous
    • 4 years ago
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    I started out by separating the variables, and getting v = 1/(8t+C), where C is a constant. Is this integration wrong?

  4. anonymous
    • 4 years ago
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    dv/dt = -8v^2 Integral will be -8v^2t + c.

  5. anonymous
    • 4 years ago
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    Since v(t) = 94 when t = 0. In that integral, c = 94. So, the function is: v(t) = -8v^2t + 94

  6. anonymous
    • 4 years ago
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    Can you walk me through the integration? If I know what I a getting wrong here, I might be able to fix my problems with my other homework numbers. Was my approach to separate variables valid?

  7. anonymous
    • 4 years ago
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    It is actually a simple integration. Since the integral is with respect to "t", treat -8v^2 as a constant. Integral of (a * dt) will be "a * t + c". So, you get what I showed.

  8. anonymous
    • 4 years ago
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    That is what I forgot...wow...thanks so much for your help!

  9. anonymous
    • 4 years ago
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    Very good! No worries.

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