Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

0/2 points 1 Previous Answers SerPSE 10 3.40P 06 A vector has an x component of

ID: 1877663 • Letter: 0

Question

0/2 points 1 Previous Answers SerPSE 10 3.40P 06 A vector has an x component of -25.5 units and a y component of 36.2 umits. Find the magnitude and direction of this vector magnitude The distance is given by the Pythagorean theorem, unitts direction 213 Notes 4717-_lx Draw a careful picture of this vector and be certain to measure the ale elative to the positive raxis counterdockwise from the +x axis Need Help? liau . O-2 poists SePSE10 34 OP 010 and finally moves 168 m south. Find the resultant direction in degrees south of east.) a cave to explore. Starting at the cave entranc,Mariana t folosassage 75.0 m north, then turns and moves 250 m east, then goes 105 m at an angle 30.ge north of eas displacement from the cave entrance Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m an k (oe the m rane Poition

Explanation / Answer

5.

the x component is -25.5 and y component is 36.2

so, magnitude = (x^2+y^2)^1/2= 44.3 and direction= tan^-1(36.2/-25.5)= 234.8 degrees clockwise from the x axis

6.

net x displacement = +250 +105cos30 = 341

net y displacement = +75 +105sin30 -168 = -40.5

so, magnitude= 343 and direction= tan^-1(-40.5/341)= 6.8 degrees. so 6.8 degrees south to east