Chapter 3
Practice Problems

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1
Vector A has length and is at an angle of 30 degrees. Vector B has length 20 and is at an angle of 210 degrees. To the nearest tenth of a unit, what is the magnitude of A+B?
2
Vector A is 10 units long at an angle of 60 degrees. Vector B is 4 units long at an angle of degrees. To the nearest degree what is the direction of A-B?
3
A boat travelling at 6 m/s heads due north across a meter wide river. If the east flowing current in the river is 2.5 m/s,to the nearest meter, how far east of it's starting position is the boat when it reaches the north shore?
4
A baseball is hit off a 1 meter high tee at an angle of 36.9 degrees and at a speed of m/s.How far to the nearest tenth of a meter does it travel horizontally?
5
A golf ball is launched at a 30 degree angle with a speed of m/s.To the nearest tenth of a meter, what is its maximum height?
6
A football is kicked at an angle of 45 degrees from a distance of meters and just clears a 3 meter high goal on its way down. To the nearest m/s what was its initial speed?
7
An airplane travelling horizontally at km/h at a height of 2 km releases a bomb. How far ahead (to the nearest meter) from the release point does the bomb strike the ground?
8
A seagull diving towards a stone beach at an angle of 60 degrees to the vertical releases a clam from a height of 100 meters. The clam hits the beach seconds later. To the nearest tenth of a m/s what was its speed when it was released?



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