Chapter_3
Practice Problems


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1
Vector A has magnitude units and direction, counterclockwise from east, of degrees, what is the value of its x-component to 1 decimal place?
2
In Problem 1 what is its y component?
3
A vector has x-component and y-component , what is its magnitude to the nearest tenth of a unit?
4
What is the direction of the vector in problem 3 to the nearest tenth of a degree measured counterclockwise from east.
5
Vector A is 10 units long and is at angle of degrees counterclockwise from east . Vector B is of length 10 units and is at an angle of -30 degrees. What is the direction measured counterclockwise from east of A+B to the nearest tenth of a degree?
6
In the previous problem what is the magnitude of the resultant to the nearest tenth of a unit?
7
A car traveling at m/s northwest reaches a curve and seconds later it is heading north at 15 m/s, what is the magnitude of its average acceleration to two decimal places?
8
In problem 7 what is the direction of the average acceleration to the nearest tenth of a degree measured counterclockwise from east?
9
A boat is traveling with a speed mph over the water and at a direction of degrees counterclockwise from east. The river itself is flowing east at 4 mph relative to its bank. What is the speed of the boat relative to the river bank to the nearest hundredth of a mph?
10
In the previous problem what is the angle of progress to the nearest tenth of a degree of the boat with respect to the river bank?

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Practice Problems by Carl Adler, East Carolina University, ©2002, Prentice Hall, Inc. TestMakPro used by permission of Carl Adler. For more information about the TestMaker programs, please go to: http://image-ination.com/.