AP Physics C: Mechanics
1.3 Representing Motion
1.2 Displacement, Velocity, and Acceleration
Four carts, labeled W, X, Y, and Z, travel along a straight, horizontal track. At time \(t = 0\), each cart is traveling with an initial speed \(v_i\) and begins to decelerate with a constant acceleration of magnitude \(a\) until it comes completely to rest. The initial speeds and deceleration magnitudes for each cart are given in the table.
Which of the following correctly ranks the total stopping distance \(\Delta x\) traveled by each cart from greatest to least?
| Cart | Initial Speed | Deceleration Magnitude |
|---|---|---|
| W | \(v_0\) | \(a_0\) |
| X | \(2v_0\) | \(a_0\) |
| Y | \(2v_0\) | \(4a_0\) |
| Z | \(3v_0\) | \(6a_0\) |
Which of the following correctly ranks the total stopping distance \(\Delta x\) traveled by each cart from greatest to least?
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