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The two-dimensional position vector of a particle as a function of time is given to be ř(t) = [2 m + (3 m/s)t]£ + [1 m + (4 m/s)t – (5 m/s²)t²]9 a. How far away from the origin is the particle when t= 10 seconds? This is the same as asking what the length of the position vector is at that time. b. How fast is the particle moving at that same instant? This is the same as asking what the length of the velocity vector is at that time. d. Draw the acceleration vector for this particle. Just draw an arrow, tell me how long it is (with the correct units), and explain in which direction it is pointing. Maybe drawing it in a coordinate system will help that last part.

The two-dimensional position vector of a particle as a function of time is given to be ř(t) = [2 m + (3 m/s)t]£ + [1 m + (4 m/s)t – (5 m/s²)t²]9 a. How far away from the origin is the particle when t= 10 seconds? This is the same as asking what the length of the position vector is at that time. b. How fast is the particle moving at that same instant? This is the same as asking what the length of the velocity vector is at that time. d. Draw the acceleration vector for this particle. Just draw an arrow, tell me how long it is (with the correct units), and explain in which direction it is pointing. Maybe drawing it in a coordinate system will help that last part.

College Physics
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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The two-dimensional position vector of a particle as a function of time is given to be ř(t) = [2 m + (3 m/s)t]£ + [1 m + (4 m/s)t – (5 m/s²)t²]9 a. How far away from the origin is the particle when t= 10 seconds? This is the same as asking what the length of the position vector is at that time. b. How fast is the particle moving at that same instant? This is the same as asking what the length of the velocity vector is at that time. d. Draw the acceleration vector for this particle. Just draw an arrow, tell me how long it is (with the correct units), and explain in which direction it is pointing. Maybe drawing it in a coordinate system will help that last part.
Transcribed Image Text:The two-dimensional position vector of a particle as a function of time is given to be ř(t) = [2 m + (3 m/s)t]£ + [1 m + (4 m/s)t – (5 m/s²)t²]9 a. How far away from the origin is the particle when t= 10 seconds? This is the same as asking what the length of the position vector is at that time. b. How fast is the particle moving at that same instant? This is the same as asking what the length of the velocity vector is at that time. d. Draw the acceleration vector for this particle. Just draw an arrow, tell me how long it is (with the correct units), and explain in which direction it is pointing. Maybe drawing it in a coordinate system will help that last part.
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