Projectile motion problem with components

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SUMMARY

The discussion centers on solving a projectile motion problem involving a ball thrown onto a roof, landing 3.90 seconds later at a height of 18.0 meters. The ball's landing angle is 67.0° relative to the roof. To find the horizontal distance traveled, participants emphasize the importance of applying kinematic equations in two dimensions, specifically using equations such as d = vit + 1/2 at² and vf = vi + at. The conversation highlights the need for a structured approach to break down the problem into manageable components.

PREREQUISITES
  • Understanding of kinematic equations in two dimensions
  • Knowledge of projectile motion concepts
  • Ability to resolve vectors into horizontal and vertical components
  • Familiarity with basic physics principles related to motion
NEXT STEPS
  • Study the complete kinematic equations for projectile motion
  • Learn how to resolve initial velocity into horizontal and vertical components
  • Practice solving similar projectile motion problems with varying angles and heights
  • Explore the concept of reversing motion to analyze projectile paths
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone seeking to enhance their understanding of projectile motion and kinematic analysis in two dimensions.

tigerlili
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Homework Statement



a ball is thrown up onto a roof, landing 3.90 s later at height h = 18.0 m above the release level. The ball's path just before landing is angled at θ = 67.0° with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocit

Homework Equations



i thought it was just v0x=vcostheta
v0y=vsintheta

and kinematics

The Attempt at a Solution



i really have no idea how to start this one
 
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What do you mean by "kinematics"? What you have written down is just the horizontal and vertical components of the initial velocity. That's not enough. Start by writing down the complete kinematics equations in 2-dimensions. Then we will have a starting point and if you don't know how to use them, we will help you along.
 
d= vit + 1/2 at^2

vf= vi + at

vf^2= vi^2 + 2ad

d= (vi + vf)/2 * t

but i still don't know what to do
i'm sorry, but I've been doing physics all day and my thoughts just aren't together
and it's due in like an hour and a half :/
 

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