Questions
Question 1
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A particle has displacement \(30\,\mathrm{m}\) in \(5\,\mathrm{s}\). Find its average velocity.
Question 2
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A particle moves from \(12\,\mathrm{m}\) to \(-8\,\mathrm{m}\) in \(4\,\mathrm{s}\). Find its average velocity.
Question 3
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Why is average speed always greater than or equal to the magnitude of average velocity?
Question 4
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A runner travels \(100\,\mathrm{m}\) out and \(100\,\mathrm{m}\) back in \(20\,\mathrm{s}\). Find average velocity and average speed.
Question 5
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For \(x(t)=3t+2\), find the average velocity from \(t=1\,\mathrm{s}\) to \(t=5\,\mathrm{s}\).
Question 6
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A particle is at \(0\,\mathrm{m}\) when \(t=2\,\mathrm{s}\) and \(18\,\mathrm{m}\) when \(t=8\,\mathrm{s}\). Find average velocity.
Question 7
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A particle moves \(+10\,\mathrm{m}\) in \(2\,\mathrm{s}\), then \(-4\,\mathrm{m}\) in \(3\,\mathrm{s}\). Find average velocity and average speed.
Question 8
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What are the SI units of average velocity?
Question 9
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A particle moves at \(6\,\mathrm{m\,s^{-1}}\) for \(2\,\mathrm{s}\), then \(-2\,\mathrm{m\,s^{-1}}\) for \(6\,\mathrm{s}\). Find the average velocity.
Question 10
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If a particle has zero average velocity over a nonzero time interval, what must be true about its initial and final positions?
Question 11
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A car moves from \(x=-50\,\mathrm{m}\) to \(x=10\,\mathrm{m}\) in \(15\,\mathrm{s}\). Find its average velocity.
Question 12
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Can average velocity be negative while average speed is positive?
Question 13
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During a \(10\,\mathrm{s}\) interval, a particle travels \(60\,\mathrm{m}\) of distance but has displacement \(-20\,\mathrm{m}\). Find average velocity and average speed.
Question 14
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A position table gives \(x=1\,\mathrm{m}\) at \(t=0\,\mathrm{s}\) and \(x=19\,\mathrm{m}\) at \(t=6\,\mathrm{s}\). Find the average velocity.
Question 15
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A particle has \(\bar{v}_x=-3\,\mathrm{m\,s^{-1}}\) for \(8\,\mathrm{s}\). Find its displacement.
Question 16
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A particle starts at \(5\,\mathrm{m}\) and has average velocity \(2.5\,\mathrm{m\,s^{-1}}\) for \(4\,\mathrm{s}\). Find its final position.
Question 17
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Why is average velocity undefined for \(\Delta t=0\)?
Question 18
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A particle moves \(8\,\mathrm{m}\) in \(2\,\mathrm{s}\), then \(8\,\mathrm{m}\) in \(6\,\mathrm{s}\). Find its average velocity for the whole motion.
Question 19
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On a position-time graph, what does average velocity represent between two points?
Question 20
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A particle has average velocity \(7\,\mathrm{m\,s^{-1}}\) for \(3\,\mathrm{s}\). Find its displacement.
Question 21
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A particle moves from \(x=0\) to \(x=12\,\mathrm{m}\) in \(3\,\mathrm{s}\), then from \(x=12\,\mathrm{m}\) to \(x=-4\,\mathrm{m}\) in \(5\,\mathrm{s}\). Find average velocity and average speed over the whole motion.
Question 22
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A particle has \(x(t)=t^2-6t+5\). Find the average velocity from \(t=1\,\mathrm{s}\) to \(t=7\,\mathrm{s}\), and decide whether it equals the instantaneous velocity at the midpoint time.