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

[Shyotic]

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.

 

[gneill]

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

So what equation(s) are relevant?

 

[Simon Bridge]

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.

 

[robotpie3000]

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 v_y using basic trigonometry
3) Then find the vertical height (clues: consider the relationship between v_y, g and t)

Hopefully this may help you further!