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Inclined plane landing angle watch

1. If I have an smooth inclined plane of angle to the horizontal, and a smooth particle sitting at the bottom of the slope. I give the particle an impulse up the slope at angle to the horizontal. Show that the landing angle is .

I know that , and I have the values them in the textbook as standard results. I can't seem to simplify that though...
2. (Original post by bbrain)
If I have an smooth inclined plane of angle to the horizontal, and a smooth particle sitting at the bottom of the slope. I give the particle an impulse up the slope at angle to the horizontal. Show that the landing angle is .

I know that , and I have the values them in the textbook as standard results. I can't seem to simplify that though...
Calculate the time at landing

write down v_y and v_x at this moment
The angle of the velocity vector to the horizontal here is

THe landing angle to the slope

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