Projectile Motion maximum height

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SUMMARY

The discussion focuses on calculating the maximum height of a projectile using kinematic equations. Participants utilize the formula d = 1/2at^2 + v1t and derive initial velocities ranging from 34.8 m/s to 36.6 m/s. The calculated maximum heights are between 22.8 m and 23.0 m, with adjustments made for ground level measurements. Users express confusion regarding discrepancies in their results compared to expected answers from an online assignment.

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  • Understanding of kinematic equations in physics
  • Familiarity with projectile motion concepts
  • Basic algebra for solving equations
  • Knowledge of gravitational acceleration (9.81 m/s²)
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salman213
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1. http://img525.imageshack.us/img525/6376/fic11p112xe1.png
http://img525.imageshack.us/img525/9550/vqc11p112el8.png
[/URL]



2. d = 1/2at^2 + v1t

v =d/t




3.
horizontal time it takes equals vertical time

Horizontal
t = d/v = 50 /(v1cos10)


Vertical
d = 1/2at^2 + v1t
-0.6 = 1/2(-9.81)(50/v1cos10)^2 + v1sin10(50 /(v1cos10)

i get v1 = 36.6 m/s

-1.6 = 1/2(-9.81)(50/v1cos10)^2 + v1sin10(50 /(v1cos10)
i get v1 = 34.8 m/s


So my range is 34.8 m/s to 36.6 m/s

for b part

dv = v1(t) - 1/2(9.81)(t^2)

maximum height occurs at half the time so i used 1/2(50/v1cos10)

dv = 34.8(1/2(50/36.64cos10) - 1/2(9.81)(1/2(50/34.8cos10))^2
i got 22.8 m

for 2nd velocity

dv = 36.64(1/2(50/36.64cos10) - 1/2(9.81)(1/2(50/36.64cos10))^2
i got 23.0 m


So my maximum height range is 22.8 m to 23.0 m

According to my online assignment this is wrong

please helppppppppppp

 
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i just noticed for maximum height i guess I also add 2.1 m if they are measuring from the Ground so 22.8 + 2.1 = 24.9 m and 23.0 + 2.1 = 25.1 m but these values still are somehow wrong...
 
i know it may be a little long in calculating but can someone check to see if my process is right if no one wnats to check my calculations :)
 
Hi Salman, i have been doing some work on this problem, Would you please be so kind to include the correct answers so i can verify and post it?
 
if i had the correct answers i wouldn't have posted it :(

wat answers did u get? and how did u attempt this problem differently?

Thanks..
 
vipul did u get different answerS?
 
sorry salman, haven't got the answers yet but still working on them, i thought if u had the correct answers, maybe we can work backwards.
 
hmm ok if u get answers tell me because i can keep submitting the answers repeatedly on my assignemtnt o see if they are right but I need the right answer. I don't understand what I am doing WRONG!


also do u have a energy question? about a spring and stuff? Did u fnish that one :S?
 
Salman, for part (a), my answers; the range is between 34.99m/s to 36.82m/s. Could you please verify these?
 
  • #10
hmm its one question so try getting b part too about maximum height range,

like its ONE question

a)
b)

and u have to enter both answers.


then i can cehck if they are right,


if someone else can check my solution please do, i don't know where I am going wrong!
 
  • #11
Ok, my answers;

a) 34.99m/s to 36.82m/s
b) 3.99m to 4.18m
 
  • #12
lol its too late sry my assignments done
 
  • #13
Did u get the correct answers?
 

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