Scelta multipla
In introductory physics, which statement best explains acceleration?
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2. 1D Motion / Kinematics
Intro to Acceleration
Scelta multipla
In one-dimensional motion with constant acceleration and starting from rest, an object travels a distance in a time . Which expression gives the acceleration in terms of and ?
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Identify the known variables and conditions: the object starts from rest, moves in one dimension with constant acceleration, covers a distance \(d\) in time \(t\), and we need to find the acceleration \(a\).
Recall the kinematic equation for displacement under constant acceleration starting from rest: \(d = \frac{1}{2} a t^{2}\).
Rearrange the equation to solve for acceleration \(a\): multiply both sides by 2 to get \(2d = a t^{2}\).
Isolate \(a\) by dividing both sides by \(t^{2}\), resulting in \(a = \frac{2d}{t^{2}}\).
This expression shows acceleration in terms of distance and time when starting from rest with constant acceleration.
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