Your dog is running around the grass in your back yard. He undergoes successive displacements south, 8.20 m northeast, and 15.0 m west. What is the resultant displacement?
Let us consider the given data.
We sum the different displacements given in the problem to determine the resultant displacement.
The magnitude and direction of the resultant vector are then determined.
Hence, the resultant displacement is
In figure, the line segment represents a path from the point segment represents a path from the point with the position vector (5i + 3j) m to the Point with the location (16i + 12j) m. Point A is alone with this path a fraction f of the way to the destination.
a) Find the position vector of point A in terms of f.
b) Evaluate the expression from part a for f = 0.
c)Explain whether the result in part b is reasonable.
d) Evaluate the expression for f = 1.
e)Explain whether the results in part d is reasonable.
You are standing on the ground at the origin of a coordinate system. An airplane files over you with constant velocity parallel to the x axis at a fixed height of 7.60x103 m. At time t = 0, the airline is directly above you so that the vector leading from you to it is P0 = 7.60x103j m. At t = 30.0s , the position vector leading from you to the airplane is P30 = (8.04x103i + 7.60x103j) m as suggested . Determine the magnitude and orientation of the airplane’s position vector at t = 45.0 s.
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