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07Applications of Lines

# 07Applications of Lines - Find the object’s initial...

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A PPLICATIONS OF L INES If a body has initial position vector a , and moves with constant velocity b , its position at time t is given by: b t a r + = for 0 t Ex . A particle is moving along the line + = 4 3 1 1 t r where t is in seconds and distance units are in meters. a) Find the initial position of the particle. b) Sketch a graph using t = 0, 1, 2, 3 c) Find the speed of the particle. Ex . - + = 8 6 5 7 t y x is the vector equation of the path of an object where 0 t , t in seconds. Distance units are metres. a)

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Unformatted text preview: Find the object’s initial position. b) Find the velocity vector of the object. c) Find the object’s speed. Ex . Find the velocity vector of a speed boat moving parallel to -12 5 with a speed of 65 km/ h. Ex . An object is initially at (5, 10, 2) and moves with velocity vector k j i 2 3 +-. Find: a) The position of the object at any time t ( t in minutes). b) The position at t = 3. c) The time when the object is at (35, 0, 22). Assign: MSL p.404 #1, 2, 3, 4abc...
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07Applications of Lines - Find the object’s initial...

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