In a physics lab, students measure the time it takes a small cart to slide a distance of 1.00 m on a smooth track inclined at an angle θ above the horizontal. Their results are given in the following table.
| θ | 10.0° | 20.0° | 30.0° |
| time, s | 1.08 | 0.770 | 0.640 |
(a) Find the magnitude of the cart’s acceleration for each angle.
(b) Show that your results for part (a) are in close agreement with the formula, a = g sin θ. (We will derive this formula in Chapter 5.)
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