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Find two vectors and 02 whose sum is (2, –4), where is parallel to (2, -4) while vz is perpendicular to (2, -4). V1 = and %3D V2 =

Find two vectors and 02 whose sum is (2, –4), where is parallel to (2, -4) while vz is perpendicular to (2, -4). V1 = and %3D V2 =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A stone is thrown from a rdftop at time t = 0 seconds. Its position at time t is given by 7(t) = 5ti – 5tj + (19.6 – 4.9t?) k. The origin is at the base of the building, which is standing on flat ground. Distance is measured in meters. The vector i points east, j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds. (c) Where does the stone hit the ground? (in meters) (d) How fast is the stone moving when it hits the ground? (in meters per second)
Transcribed Image Text:A stone is thrown from a rdftop at time t = 0 seconds. Its position at time t is given by 7(t) = 5ti – 5tj + (19.6 – 4.9t?) k. The origin is at the base of the building, which is standing on flat ground. Distance is measured in meters. The vector i points east, j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds. (c) Where does the stone hit the ground? (in meters) (d) How fast is the stone moving when it hits the ground? (in meters per second)
Find two vectors , and ī, whose sum is (2, –4), where ī is parallel to (2, -4) while o2 is perpendicular to (2, -4). V1 = and V2 = %3D
Transcribed Image Text:Find two vectors , and ī, whose sum is (2, –4), where ī is parallel to (2, -4) while o2 is perpendicular to (2, -4). V1 = and V2 = %3D
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