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An object moves in the \(xy\)-plane with an acceleration that has a positive \(x\)-component. At \(t=0\), the object's velocity is \(\vec v = 3\hat i\,\text{m/s}\). What can be concluded about the \(y\)-component of the acceleration?

1. The \(y\)-component must be positive and constant.
2. The \(y\)-component must be negative and constant.
3. The \(y\)-component must be zero.
4. Nothing at all can be concluded about the \(y\)-component.

Correct answer: Nothing at all can be concluded about the \(y\)-component.

Solution

Only the \(x\)-component of acceleration is specified to be positive. The initial velocity at \(t=0\) gives no direct information about the \(y\)-component of acceleration, so it may be positive, negative, or zero.

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