Finding Intersection of 2 Projectiles: Urgent Help Needed

AI Thread Summary
To find the intersection of two projectiles, the first ball (ball1) is thrown at 8 m/s and 40 degrees from a height of 3 m, while the second ball (ball2) is thrown from the water's surface at an unknown speed and 50 degrees. The key is to establish equations for the x and y components of both projectiles, using the known values for ball1 and the unknown speed for ball2. The equations should be set up to find the time at which both balls are at the same x and y coordinates. It's crucial to clarify the initial height of ball2, which is assumed to be at the water level, allowing for the calculation of the necessary speed for ball2 to intersect with ball1.
catherine Sir
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(I will try to correctly translate this, as this is a class in french)

A person on the board of a swimming pool throws a ball (ball1) at a speed of 8 m / s at an angle of 40 degrees above the horizontal. At the time of launch, the ball is 3 m above the water, and 10 m from the opposite side of the pool. From the opposite side of the pool, someone else throws another ball(ball2) at an angle of 50 degrees above the horizontal.

If the two are thrown at the same time: a) what should be speed of ball2 so that it touches ball1 in flight?

I just don't know where to start... it seems as though there is information missing! I have tried decomposing the speed of ball1 : Vxo = 8cos40=6.13m/s and Vyo = 8sin40 = 5.14m/s but I don't know where to go from there... I know I need to show the speed where x1=x2 and y1=y2, but how do I do that??

For projectiles we are given these equations :
x = (Vxo)(t)
Vy=(Vyo) - (g)(t)
y = (yo) + (Vyo)(t) - 0.5(g)(t)^2
Vy^2 = (Vyo)^2 - 2(g)(y-yo)

I have no idea how to solve this... I have been thinking about this one for at least 2 hours. Please help! Thank you so much in advance :)
 
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Just to clear things up, the second ball is thrown at the same level a the water.

Please help, this is due today!
 
You need to pick a frame of reference (coordinate system) and write the trajectory equations for both projectiles in that frame. Start by drawing a picture of the setup.

The problem text doesn't state the initial height of the second ball. Is this an omission, or are you to assume that it's the same as the first ball's launch height?
 
The second ball is at the same level as the water. On my homework there is a picture of the situation.
 
Okay, then you have enough information to write x and y component trajectory equations for both balls. For the first ball you have complete information (all the variables have values). For the second ball only the launch speed is missing, so you'll need to carry it through the math as an unknown. Suppose you call it v2. What would be the magnitudes of the x and y components of that velocity?
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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