90o Angle Need To Be Constructed As A Rectangle
Vectors at an 90o angle need to be constructed as a rectangle
Us-Time
Calculate the resultant force if:
Sue push a box with a force of 7N to the right while John pull it 2N to the left.
Draw a vector diagram. Use vector addition to find the resultant vector. Determine the magnitude and direction of the resultant vector. Determine the magnitude and direction of the equilibrant vector.
Two boys try to move a heavy box. Both apply a force of 2N to the right on the box.
Draw a vector diagram. Use vector addition to find the resultant vector. Determine the magnitude and direction of the resultant vector. Determine the magnitude and direction of the equilibrant vector.
Sam pull a box with a force of 2N West and
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She stops for lunch and then drives 5 kilometres east.
What distance did she cover?
Distance = 7 + 5 = 12km
What was her displacement?
Displacement = √(x^2+y^2 ) = √(5^2+7^2 ) = √74 = 8.60km
θ= 〖tan〗^(-1) (opposite/adjacent)= 〖tan〗^(-1) (7/5)=54.46°
THUST 90o-54.46o = 35.54o
Anthony walks to the pizza place for lunch. He walks 1 km east, then 1 km south and then 1 km east again.
What distance did he cover?
Distance = 1 + 1 +1 = 3km
What was his displacement?
Displacement = √(x^2+y^2 ) = √(2^2+1^2 ) = √5 = 2.24km
θ= 〖tan〗^(-1) (opposite/adjacent)= 〖tan〗^(-1) (1/2)=26.57°
THUS 90o + 26.57 = 116.57o
Us-Time
On his fishing trip Justin and friends ride in a boat 12 km south. The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north.
What distance did they cover? What was their displacement?
Tara goes on a camel safari in Africa. She travels 5 km north, then 3 km east and then 1 km north
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What was her displacement?
I-Time
Alex goes cruising on his dirt bike. He rides 700 m north, 300 m east, 400 m north, 600 m west, 1200 m south, 300 m east and finally 100 m north.
What distance did he cover? What was his displacement?
Determine the resultant
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