Projectile Motion Ball throw Question

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Homework Help Overview

The problem involves projectile motion, specifically calculating the initial velocity of a ball thrown at a 30-degree angle from a height of 1 meter to reach a target 8 meters away and also elevated by 1 meter.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to break the motion into vertical and horizontal components to find the time for each. They express uncertainty about the next steps after rearranging their equations and question their algebra skills. Some participants question the interpretation of the height of the target and suggest using the range formula for projectile motion. Others emphasize the importance of correctly identifying the components of the initial velocity and recommend drawing a diagram.

Discussion Status

The discussion is active, with participants providing guidance on checking assumptions and suggesting methods to visualize the problem. There is no clear consensus on the approach yet, as different interpretations of the problem setup are being explored.

Contextual Notes

Participants are discussing the implications of the target's elevation and the initial height of the throw, which may affect the calculations. There is also mention of the original poster's self-identified challenges with algebra and understanding of the components involved.

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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