Hey guys I need some help on this question...
A spelunker is surveying a cave. She follows a passage 180m straight west, then 230m in a direction 45 degrees east of south, and then 280m at 30 degrees east of north. After a fourth unmeasured displacement, she finds herself back where she started.
1. Use a scale drawing to determine the magnitude of the fourth displacement. 2. Determine the direction of the fourth displacement. Two sig digs.
So where should I start I'm terrible at vectors.
Hello, Oldspice1212!
I hope you're familiar with the basics of vectors.
A spelunker is surveying a cave.
She follows a passage 180m straight west,
then 230m in a direction 45 degrees east of south,
and then 280m at 30 degrees east of north.
After a fourth unmeasured displacement, she finds herself back where she started.
1. Use a scale drawing to determine the magnitude of the fourth displacement.
What a clumsy way to get a measurement!
2. Determine the direction of the fourth displacement. (Two sig. digits)
Let North and East be positive.
Going from A to B: 180 m west.
. .
Going from B to C: 230 m, 45^{o} east of south.
. .
Going from C to D: 280 m, 30^{o} east of north.
. .
Add the vectors:
. .
Point D is 122.63 m east and 79.85 m north of point A.
Code:* D * * * θ * * * 79.85 * * * * A * * * * * * * 122.63
. . .
The direction of the last displacement is: 60^{o} west of south.
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
By the way, the final magnitude is:
. . .