physics-math help?

Question

A girl delivering newspapers travels 1 blocks west, 5 blocks north, and then 6 blocks east.

(a) What is her resultant displacement?
______blocks at _____degrees counterclockwise from east.

can you show me how you did it?

Answer 1

7.1 at 45 degrees.

1 block west + 6 blocks east = 5 blocks east
(-1 + 6 = 5)

So she goes 5 blocks east and 5 blocks north. On graph paper this could be drawn as the resultant vector (0,0 to 5,5).

Or imagine a right-angle triangle with the bottom 5 units long and the right side 5 units high.

The result, the third side (hypotenuse) of the triangle would be 7.1 units long at a 45-degree angle. The hypotenuse is calculated by taking the square root of the squares of both sides (7.1 = square root of 50 [because 50 = 5 squared + 5 squared]).

Answer 2

This question just deals with vectors (specifically vector addition). First of all you have to understand the difference between distance (which is the total length traveled(scalar)), and displacement (which is the length traveled, taking into account direction (vector)). In this question because you are traveling east(6 blocks) and west(1 block), the resultant vector would be 5 blocks east. If you line the arrows up tip to tail (assuming you know what vector additition is??)(the tip of your first vector to the tail of your second) you will have a right angle triange. If you use pythagorus, and triginometry you will get the answer.


ANSWER: 7.07 blocks @ 45 degrees counter clockwise from east.


(Use tan = Opp/Adj to find angle )

Answer 3

The more easy way is use a milimeter paper.You can draw the vectors on the paper and measure directly the distance and the angle.

The answer is:

sqrt (50) = 7.07 blocks and 90 + 45 = 135 degress.

Answer 4

her resultant dispalcement is 5*2^-2(five * root two) blocks.
and it is 45 degrees counterclockwise from east.

if u can give your e-mail id i can send you the diagram as it is in the pic. form.

Answer 5

You can do this with just a ruler and protractor.