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a)Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree.
Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis.
b)Using the method of vector addition by components, determine the displacement from the boy to the girl.
c)After the boy has found his sister, they want to travel the shortest path home. If their home is located d4=100 m due north of the big tree, what is the magnitude and direction of the displacement from the siblings to their home, dBGH ?

Respuesta :

a) The boy is at a displacement of 23.32 m from the tree, at angle of 49.34° CCW to positive X axis.

b) The total distance between the boy and girl is 41.1 m.

c) The siblings had to travel 107.77 m at 81.03° CCW to positive X axis.

What is displacement?

An object's position changing independently of the path it is traveling is referred to as displacement. Being a vector quantity, displacement takes both the magnitude and the direction of an object's motion into account.

Displacement can have a positive, negative, or zero value because it is a vector quantity. It's crucial to consider the object's starting and ending positions when comprehending displacement. The displacement of an object can be represented graphically by drawing the vector from its origin to its destination.

Finding the drawn vector's length will reveal how far the object has been moved. The symbol s, which stands for displacement (defined as a change in spatial location), represents displacement. For displacement, meters are the accepted unit of measurement.

Learn more about displacement

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