Relative Motion Problem: Solving for the angle of the moving object

It is not obvious in all relative motion problems how to draw the vector diagrams. Sometimes the velocity of the object with respect to the Earth is not the hypotenuse of the velocity vector addition triangle. Here we address how to handle a problem like that.

0:00 Intro
0:15 Reading the problem
0:40 Translating the problem
1:52 Visualizing the problem
2:17 Drawing the vector diagram
3:33 Rearranging the vector equation
4:40 Redrawing the vector diagram
5:30 The Earth subscript drops out of the equation
5:51 Solving part (a): solving for theta
6:40 Solving part (b): solving for the speed of the car relative to the Earth
7:48 Understanding the answer to part (b)

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An introductory Relative Motion Problem with Vector Components

[brainwithatwist]

You put so much efforts in your video... Respect

[andrewjustin]

Mr. P, this problem was extremely perplexing 😭!!

[fatboyisaac]

Why do we move the vector of the car westward to counter the other force?

[FlippingPhysics]

What do you do if the velocity of the object with respect to the Earth is not the hypotenuse of the velocity tip-to-tail vector addition triangle? #PhysicsED #flipclass

[TeafSior]

Hi, Sir. Thank you for making these videos! Are Vpe and Vcp placed tip to tail while the resultant vector is placed from the tail of Vcp to the head of Vpe? How do we identify which vector is the resultant vector? Is the resultant vector always the vector we're interested in? I hope my questions make sense.

[mythicgrapeyt]

lmao the middle guy is so me in class 😅

[shouvikbarua]

Will the angle of the car be about 52 degrees N of E ?