Chapter 2: Problem 62
Is it possible for two different objects to have the same speed but different velocities?
Short Answer
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 2: Problem 62
Is it possible for two different objects to have the same speed but different velocities?
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeAfter a displacement of \(17 \mathrm{~m}\), a train on a straight track is at the position \(x_{\mathrm{f}}=-2.2 \mathrm{~m}\). What was the train's initial position?
Think \& Calculate You drive in a straight line at \(20.0 \mathrm{~m} / \mathrm{s}\) for \(10.0 \mathrm{~min}\), then at \(30.0 \mathrm{~m} / \mathrm{s}\) for another \(10.0 \mathrm{~min}\). (a) Is your average speed \(25.0 \mathrm{~m} / \mathrm{s}\), more than \(25.0 \mathrm{~m} / \mathrm{s}\), or less than \(25.0 \mathrm{~m} / \mathrm{s}\) ? Explain. (b) Verify your answer to part (a) by calculating the average speed.
The equation of motion for a train on a straight track is \(x=11 \mathrm{~m}+(6.5 \mathrm{~m} / \mathrm{s})\) t. (a) Plot the position-time graph for the train from \(t=0\) to \(t=5.0 \mathrm{~s}\). (b) At what time is the train at \(x=32 \mathrm{~m}\) ?
A soccer ball rests on the field at the location \(x=5.0 \mathrm{~m}\). Two players run along the same straight line toward the ball. Their equations of motion are as follows: $$ \begin{aligned} &x_{1}=-8.2 \mathrm{~m}+(4.2 \mathrm{~m} / \mathrm{s}) t \\ &x_{2}=-7.3 \mathrm{~m}+(3.9 \mathrm{~m} / \mathrm{s}) t \end{aligned} $$ (a) Which player is closer to the ball at \(t=0\) ? (b) At what time does one player pass the other player? (c) What is the location of the players when one passes the other?
State What are the SI units of speed?
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