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

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

What do you need to solve?
My question asks, Find the velocity function v(t) if at time t=0, the body is traveling at 94 m/s
I started out by separating the variables, and getting v = 1/(8t+C), where C is a constant. Is this integration wrong?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

dv/dt = -8v^2 Integral will be -8v^2t + c.
Since v(t) = 94 when t = 0. In that integral, c = 94. So, the function is: v(t) = -8v^2t + 94
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?
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.
That is what I forgot...wow...thanks so much for your help!
Very good! No worries.

Not the answer you are looking for?

Search for more explanations.

Ask your own question