Question

An object has three component velocities: 5mi/hr toward the east, 12mi/hr toward the south, and 8mi/hr toward the northwest. Find the resultant velocity of the object.

For resultant velocity, I got 6mi/hr
I don't understand how to find the direction angle and direction (ex. N of E)
Thanks for your help!

Answer 1

Vr = 5 - 12i + 8[135o]
Vr = 5 - 12i + 8*Cos135 + i8*sin135
Vr = 5 - 5.66-12i + 5.66i=-0.66 - 6.34i
(Q3).

Tan Ar = Y/X = -6.34/-0.66 = 9.61083
Ar = 84o = Reference angle.
A = 84 + 180 = 264o CCW = 84o S. of W.

Vr = Y/sin A = -6.34/sin264 = 6.37 mi/h.
= Resultant velocity.

Note: Since the angle is in the 3rd quadrant, it is 84o S. of W. or 6o W. of
S.

Answer 2

Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain

Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain

Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain