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at speeds. With reference to a particular coordinate e is measured in metres, the position of A at time E -2t + 4), and the position of B is (-t – 3, t –- 4). nd the equation of the line that A moves along. t d be the distance between A and B at time t. She

at speeds. With reference to a particular coordinate e is measured in metres, the position of A at time E -2t + 4), and the position of B is (-t – 3, t –- 4). nd the equation of the line that A moves along. t d be the distance between A and B at time t. She

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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Two objects, A and B, are moving along two different straight lines at constant speeds. With reference to a particular coordinate system in which distance is measured in metres, the position of A at time t (in minutes) is (3t – 2,-2t + 4), and the position of B is (-t – 3, t - 4). (a) Find the equation of the line that A moves along. (b) Let d be the distance between A and B at time t. Show that an expression for d2 in terms of t is given by d = 25t2 - 40t + 65. %3D
Transcribed Image Text:Two objects, A and B, are moving along two different straight lines at constant speeds. With reference to a particular coordinate system in which distance is measured in metres, the position of A at time t (in minutes) is (3t – 2,-2t + 4), and the position of B is (-t – 3, t - 4). (a) Find the equation of the line that A moves along. (b) Let d be the distance between A and B at time t. Show that an expression for d2 in terms of t is given by d = 25t2 - 40t + 65. %3D
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