Displacement, Velocity, and Acceleration Work Out the Essay

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Displacement, Velocity, And Acceleration

Work out the following problems. Be sure to show your work in detail. See the uploaded files for examples of how the problems should be solved and presented.

A car is driving along a straight section of highway between Oklahoma City and Tulsa. At one point in time, the car is 50 miles from Tulsa. At a later point in time, it's 40 miles from Tulsa. What is its displacement?

s = x-x0

s=10 miles

An aircraft flies 20 km on a course of 030 degrees, then 30 km on a course of 270 degrees. What is its distance and bearing from its takeoff point? (Hints: Make a sketch.

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Convert flight legs to Cartesian vectors in standard position. See the "Overview of Vectors" handout.)

km at 30O

km at 270O

VR (XRYR)= V1 = V2

Because the second vector is at 270O it makes a right angle with the first vector, so that the length of the resulting vector, VR can be determined with the simple equation a2 + b2= c2

202 + 302 = c2

400+900= c2

c= 36.06km

Then, one can determine the angle of a, the angle including the 30O of the initial angle and whatever the angle is below the x-axis by looking at the sine, which is the opposite leg (30km).....

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