Projectile Motion Ball throw Question

AI Thread Summary
The discussion revolves around calculating the initial velocity of a ball thrown at a 30-degree angle from a height of 1 meter to a target 8 meters away and also elevated by 1 meter. The user has attempted to break down the motion into vertical and horizontal components but is unsure how to proceed after rearranging the equations. Suggestions include using the range formula for projectiles, given that the launch and target heights are the same. Additionally, participants emphasize the importance of accurately determining the initial velocity components and recommend drawing a diagram to clarify the problem. The conversation highlights common challenges in solving projectile motion problems and the need for careful analysis of vector components.
Coolguynice
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Homework Statement


Someone throws a ball 1m from the ground at a 30 degree angle to the corner of the room 8m away and elevated by 1m. Find the initial velocity of the ball.

Homework Equations


s=ut+1/2at^2

The Attempt at a Solution


So i broke it up into vector components in order to find the time for each component, ihave this so far...
Vertical
0=u(cos30)t+1/2*-9.8*t^2
Horizontal
8=u(sin30)+1/2*0*t^2
I don't really know where to go from here after i have rearranged to find the time of each component, i thought i could use simultaneous equations to find the inital velocity but I'm unsure of how i would go about it and my algebra isn't too good.
Please let me know what you would do after this or if there is some formula i may have missed out on that could help me solve this question.
 
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Coolguynice said:
elevated by 1m
Does that mean the corner is also 1m above the ground, like the point of projection? In that case, 8m distance becomes the range of projectile. Use the formula for range of projectile.
 
Coolguynice said:

Homework Statement


Someone throws a ball 1m from the ground at a 30 degree angle to the corner of the room 8m away and elevated by 1m. Find the initial velocity of the ball.

Homework Equations


s=ut+1/2at^2

The Attempt at a Solution


So i broke it up into vector components in order to find the time for each component, ihave this so far...
Vertical
0=u(cos30)t+1/2*-9.8*t^2
Horizontal
8=u(sin30)+1/2*0*t^2
I don't really know where to go from here after i have rearranged to find the time of each component, i thought i could use simultaneous equations to find the inital velocity but I'm unsure of how i would go about it and my algebra isn't too good.
Please let me know what you would do after this or if there is some formula i may have missed out on that could help me solve this question.
Are you sure you used the correct components for the initial velocity in the vertical and horizontal directions?

Draw a picture.
 
SteamKing said:
Are you sure you used the correct components for the initial velocity in the vertical and horizontal directions?

Draw a picture.

Yeaaa you made an error with the components on the vertical and horizontal directions. Drawing a diagram for the components always helps. Make it a habit to make sure your components are right.
 
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