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# If the acceleration is increasing with time will the velocity graph be a straight line concave up or concave down?

###### Wiki User

Concave up.

"Acceleration is increasing with time" tells us that the derivative of acceleration is positive. Since acceleration is the derivative of velocity, this means that the second derivative of velocity is positive. By definition, having a non-negative second derivative means that velocity is concave up.

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## Related Questions

because it has increasing opportunity costs

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Because when one produces one product, the opportunity cost of the other product increases i.e. the concave represents the increasing opportunity cost with the production of a good.

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