Week 1 Worksheet

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School

University of California, Los Angeles *

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Course

1A

Subject

Information Systems

Date

Oct 30, 2023

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pdf

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2

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are legitimate mathematica operatlons (@) - A- (B é) (b) (1 3) xC; ) A+ (BxC); d A x (B X C) @ A x (B C)" In each case, give the reason for your answer. Q1.25 @) IfA-B = 0, does it necessarily follow that A = 0 or B = 07 Explain. (b) If A X B = 0, does it necessarily follow that A = 0or B = 0? Explain. Q2.2 The black dots at the top of Fig. Q2.2 represent a series of high-speed photographs of an insect flying in a straight line from left to right (in the positive x-direction). Which of the graphs in Fig. Q2.2 most plausibly depicts this insect’s motion? Figure €2.2 L) L L] . -~ . v, a, x v, v, ; K \/ K t < t t 1 t 7] ol ol ol o|
A faulty model rocket moves in the x-y plane (the positive y-direction is vertically upwards). The rocket’s acceleration has components a(t) = at® and ay(t) = B-t. At t = 0 the rocket is at the origin and has velocity VO = Ui + U 1. Calculate the velocity vector as a function of time. 2. Calculate the position vector as a function of time. Queshon Q2.22 When you drop an object from a certain height, it takes time 7 to reach the ground with no air resistance. If you dropped it from three times that height, how long (in terms of 7)) would it take to reach the ground?
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