Projectile Motion on a Inclined Plane Problem

AI Thread Summary
To solve the projectile motion problem involving a bag being thrown to a friend running up an inclined plane, it's essential to analyze the motion in both horizontal and vertical components. The key is to determine the optimal angle of projection, α, relative to the incline, considering the friend's speed, v_f, and the bag's maximum speed, v_b. Utilizing small angle approximations for trigonometric functions simplifies the calculations. The discussion emphasizes the importance of showing work and equations to guide the problem-solving process effectively. Engaging with the community for feedback can enhance understanding and lead to a correct solution.
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Hi everyone ! My name is Sean. I'm a new member of this forum.
I couldn't do any attempts for this problem. Actually, i did many attemps but they went wrong.

Homework Statement



How can i solve this problem ?
Your friend is late for school and is running with a speed of v_f up a hill which makes an angle of \theta with the horizontal. Just as he run for t seconds he realizes that he has forgotten his schoolbag at the foot o the hill where you are standing. He cannot come back and he must keep running. So you have to throw the bag to him with the largest possible speed you can achieve, which is v_b. If he is still running up the hill what is the angle, \alpha (measured with respect to the inclined plane) with which you should throw the bag to him if the bag is to reach him ?
(Hint : Assume that \alpha is small and use the necessary approximations to the trigonometric functions.)

Thank you.
Sean.
 
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Show us some of your work.

Let's see some equations that you came up with, then we can tell you if you're headed in the right direction.
 
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