The position vector 7 = 4.70t|i+ let + ft2 is in meters, t is in seconds, and factors e and f are constants. The figure gives the angle locates a particle as a function of time t. Vector e of the particle's direction of travel as a function of time (6 is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units? 20 10 20 -20° t (s) (a) Number Units (b) Number Units

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 44P: Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units,...
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The position vector
4.70t|i+ [et + ft2
locates a particle as a function of time t. Vector
is in meters, t is in seconds, and factors e and f are constants. The figure gives the angle
e of the particle's direction of travel as a function of time (0 is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units?
20°
0°
10
20
-20°
t (s)
(a) Number
Units
(b) Number
Units
Transcribed Image Text:The position vector 4.70t|i+ [et + ft2 locates a particle as a function of time t. Vector is in meters, t is in seconds, and factors e and f are constants. The figure gives the angle e of the particle's direction of travel as a function of time (0 is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units? 20° 0° 10 20 -20° t (s) (a) Number Units (b) Number Units
Expert Solution
Step 1 angle of direction

The angle of direction of motion is written as

θ=tan-1vyvx

Where, vy is the velocity in y direction

            vx is the velocity in x direction

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