Maximize Stone's Height Thrown From 56m Building - 2d Kinematics Help

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Homework Help Overview

The problem involves a stone being thrown from a height of 56 meters at an angle of 36.9 degrees with an initial speed of 24.0 m/s. The objective is to determine the maximum height the stone reaches relative to the ground, which falls under the subject area of 2D kinematics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to approach the problem despite having drawn a diagram and identified knowns and unknowns. Some participants suggest reviewing relevant equations and concepts from class materials, while others recommend breaking the motion into horizontal and vertical components.

Discussion Status

Participants are actively engaging in the discussion, offering guidance on how to approach the problem. There is an emphasis on reviewing course notes and considering the vertical and horizontal components of motion. Multiple strategies are being explored without a clear consensus on a single method.

Contextual Notes

There is a mention of the need for relevant kinematic equations and the importance of understanding the mechanics involved in ballistics. The original poster's uncertainty indicates potential gaps in understanding the material covered in their course.

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Homework Statement



A stone is thrown at an angle of 36.9 above the horizontal at 24.0 m/s from a building 56m high. What is the maximum height (with respect to the ground) that the stone reaches?

Homework Equations



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The Attempt at a Solution


No clue. Have a picture drawn and all my knowns and unknowns but not sure what the solution is, or how you arrive at it.
 
Last edited:
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Check your textbook, class notes, or the web for suitable Relevant Equations. You should have a set of basic kinematic equations in your inventory of handy formulas (sometimes called the SUVAT equations of motion). It's not possible to have "No clue" if you're enrolled in a class teaching the subject :smile:

So what equation(s) are relevant?
 
Welcome to PF;
There is a good chance that you have just been covering the kind of mechanics that this relates to called "ballistics". Does that ring a bell?
You should go through your course notes for equations and examples to do with this.

In all ballistics problems, a good place to start is:
Divide the motion into horizontal and vertical components - and draw a separate v-t graph for each one: one above the other. Make sure the time-axes have the same scale.
 
Here is my strategy to solve this question, forgive me if it is wrong:

1) Draw a diagram of the situation (its good that you did it)
2) Find the vertical component of the velocity vy using basic trigonometry
3) Then find the vertical height (clues: consider the relationship between vy, g and t)

Hopefully this may help you further!
 

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