Problem 4 Alice and Bob are walking along the x-axis. Their positions as a function of time are TA(t) = 10 + 2t – t² TB(t) = 20+t² where x is in units of meters and t is in units of seconds. a) At what time is the distance between Alice and Bob minimized? b) What is this minimum distance? c) What is Alice's velocity at this time? d) What is Bob's velocity at this time? e) What is Alice's acceleration at this time? f) What is Bob's acceleration at this time?

Problem 4 Alice and Bob are walking along the x-axis. Their positions as a function of time are TA(t) = 10 + 2t – t² TB(t) = 20+t² where x is in units of meters and t is in units of seconds. a) At what time is the distance between Alice and Bob minimized? b) What is this minimum distance? c) What is Alice's velocity at this time? d) What is Bob's velocity at this time? e) What is Alice's acceleration at this time? f) What is Bob's acceleration at this time?

Name: Problem 4Alice and Bob are walking along the x-axis. Their positions
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Description: Problem 4Alice and Bob are walking along the x-axis. Their positions as a function of time areXA(t) = 10 + 2t – t²XB(t) = 20+ t²where x is in units of meters and t is in units of seconds.a) At what time is the distance between Alice and Bob minimize

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Problem 4
Alice and Bob are walking along the x-axis. Their positions as a function of time are
XA(t) = 10 + 2t – t²
XB(t) = 20+ t²
where x is in units of meters and t is in units of seconds.
a) At what time is the distance between Alice and Bob minimized?
b) What is this minimum distance?
c) What is Alice's velocity at this time?
d) What is Bob's velocity at this time?
e) What is Alice's acceleration at this time?
f) What is Bob's acceleration at this time?

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