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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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14y ago
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1mo ago

If acceleration is increasing with time, the velocity graph will be concave up. This is because a positive acceleration causes the velocity to increase over time, resulting in a curve that opens upward on the velocity-time graph.

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