Mathematics · Calculus
For an object moving along a straight path, if its velocity (the first derivative of position) is zero at a particular time t and its acceleration (the second derivative of position) is positive at that same instant, what does this indicate about the object's position at that time?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The position is at a point of discontinuity
- 2The position is at a point of inflection
- 3The position is at a local minimum✓
- 4The position is at a local maximum
Correct answer
The position is at a local minimum
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