Solve 2D Projectile Motion Problems with Sample Equations and Steps

AI Thread Summary
The discussion revolves around solving a 2D projectile motion problem involving a golf ball struck at ground level. The key equations provided are for horizontal and vertical motion, which include the initial velocity and time of flight. The user initially struggles with determining the angle of projection and how to extract necessary information from the graph. After receiving guidance, they realize they can calculate the angle using known values, leading to a solution for the problem. The conversation highlights the importance of understanding projectile motion equations and interpreting graphical data effectively.
tmay
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Homework Statement


g'day everyone,

First of all, i would like to thank everyone on this site. You lot have helped me a lot with my homework over the last couple of weeks. anyway to the question.

A golf ball is struck at ground level. The speed of the ball as a function of the time is attached, where t = 0 at the instant the ball is struck.

A) how far does the ball travel horizontally before returning to the ground level?

B) what is the max height above the ground level attained by the ball?

Homework Equations



A)
x-x0 = (v0cos theta)t

B)
y-y0 = (v0sin theta)t - 1/2gt^2

The Attempt at a Solution



I am stuck on this question. i don't know were to start. were not given theta or the final x position or the y value. I am sure the answer to this question is in the graph and i am just not reading it properly.

from the graph i have established that the ball is in the air for 5 sec. and that the initial velocity is 31m/s. however this isn't enough information to work out the questions. any help would be greatly appreciated
 

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Welcome to PF!

tmay said:
B)
y-y0 = (v0sin theta)t - 1/2gt^2

Hi tmay! Welcome to PF! :wink:

(have a theta: θ and try using the X2 tag just above the Reply box :wink:)

You know y - y0 and v0 and t, so θ = … ? :smile:
 
thankyou tiny - tim.

i now know how to get the answer.
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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