vault backup: 2025-09-03 14:12:38
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@ -57,4 +57,11 @@ Kinematics problems have a *start* and an *end* of the motion.
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1. The problem is a kinematics problem, refer to the above formula.
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1. The problem is a kinematics problem, refer to the above formula.
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2. Acceleration is a constant
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2. Acceleration is a constant
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3. Problem has two unknowns, $v_0$ and $a$, let's solve for $v_0$ first.
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3. Problem has two unknowns, $v_0$ and $a$, let's solve for $v_0$ first.
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4.
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4. $x = x_0 + \frac{1}{2}(v_0 + v) t \to v_0 = 2*(x - x_0)/ t \to 2*(15)/3 = 10$
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5. $v = v_0 + at \to a = (v - v_0) /t \to a = (-10 m/s) / 3s = -3.33m/s^2$
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6. Asses: Units? Answer make sense? Significant figures? Acceleration speeding up or slowing down?
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# Gravity
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- Is the problem 1 dimensional?
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- Could draw axis pointing upwards, call it y axis
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- If not specified, assume acceleration is $g = 9.8 m/s^2$.
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- Direction is important, $g$ is down towards the earth, so it's often negative. The sign depends on your choice of axis.
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