(1) The position vector r of a missile at any time t is given by r = tį + (8t – t)j where į and j are unit vectors in the horizontal and upward vertical direc- tion. Find its (a) average velocity from t = 2 to t = 3, (b) velocity, speed and direction of motion when t= 4, (c) position vector when it is moving parallel to the vector i – 2j, (d) acceleration vector.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 33EQ
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(1) The position vector r of a missile at any time t is given by
r = tį + (8t – t)j
where į and j are unit vectors in the horizontal and upward vertical direc-
tion. Find its
(a) average velocity from t = 2 to t = 3,
(b) velocity, speed and direction of motion when t= 4,
(c) position vector when it is moving parallel to the vector i – 2j,
(d) acceleration vector.
Transcribed Image Text:(1) The position vector r of a missile at any time t is given by r = tį + (8t – t)j where į and j are unit vectors in the horizontal and upward vertical direc- tion. Find its (a) average velocity from t = 2 to t = 3, (b) velocity, speed and direction of motion when t= 4, (c) position vector when it is moving parallel to the vector i – 2j, (d) acceleration vector.
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