b) Adam walks in a straight line form the point A(-1, 4) to the point Q(4, 16) with constant speed. His position vector can be expressed in the form p = a + tu, where t is the time after he starts walking. Adam arrives at the point Q at t = 3. ~ A (-1,4) i. State the vectors a and u. y Q(4,16) B (11,9) ii. Bob is at point B(11,9). During Adam's walk from A to P, Bob wishes to throw a ball to Adam. Bob decides to throw the ball when Adam is at the closest point to B. a) Write a vector w that is perpendicular to u. B) Hence or otherwise, find value of t when Bob throws the ball to Adam.
b) Adam walks in a straight line form the point A(-1, 4) to the point Q(4, 16) with constant speed. His position vector can be expressed in the form p = a + tu, where t is the time after he starts walking. Adam arrives at the point Q at t = 3. ~ A (-1,4) i. State the vectors a and u. y Q(4,16) B (11,9) ii. Bob is at point B(11,9). During Adam's walk from A to P, Bob wishes to throw a ball to Adam. Bob decides to throw the ball when Adam is at the closest point to B. a) Write a vector w that is perpendicular to u. B) Hence or otherwise, find value of t when Bob throws the ball to Adam.
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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Transcribed Image Text:b) Adam walks in a straight line form the point A(-1, 4) to the point Q(4, 16) with constant
speed. His position vector can be expressed in the form p = a + tu, where t is the time after he
starts walking. Adam arrives at the point Q at t = 3.
~
A (-1,4)
i.
State the vectors a and u.
y
Q(4,16)
B (11,9)
ii.
Bob is at point B(11,9). During Adam's walk from A to P, Bob wishes to throw a ball
to Adam. Bob decides to throw the ball when Adam is at the closest point to B.
a) Write a vector w that is perpendicular to u.
B) Hence or otherwise, find value of t when Bob throws the ball to Adam.
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