Chapter 2: Problem 62
Is it possible for two different objects to have the same speed but different velocities?
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
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.
All the tools & learning materials you need for study success - in one app.
Get started for free
Sketch a position-time graph for an object that starts at \(x=1.5 \mathrm{~m}\), moves with a velocity of \(2.2 \mathrm{~m} / \mathrm{s}\) from \(t=0\) to \(t=1 \mathrm{~s}\), has a velocity of \(0 \mathrm{~m} / \mathrm{s}\) from \(t=1 \mathrm{~s}\) to \(t=2 \mathrm{~s}\), and has a velocity of \(-3.7 \mathrm{~m} / \mathrm{s}\) from \(t=2 \mathrm{~s}\) to \(t=5 \mathrm{~s}\).
Can you take a bicycle ride in such a way that the distance you cover is less than the magnitude of your displacement? Give an example if your answer is yes; explain why not if your answer is no.
(a) Can the position-time graph for the motion of an object be a horizontal line? (b) Can the position-time graph be a vertical line? Explain your answer in each case.
Explain (a) Is the distance on a round-trip positive, negative, or zero? (b) Is the displacement on a round-trip positive, negative, or zero?
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?
What do you think about this solution?
We value your feedback to improve our textbook solutions.