Ahsome
  • Ahsome
Velocity Question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Ahsome
  • Ahsome
The world record for fresh hen’s egg throwing is 96.90 m, set in 1981. Assuming no air resistance, what would have been the (a) throwing speed; (b) elevation angle; (c) maximum height; (d) time of flight?
Ahsome
  • Ahsome
I'm having some weird issues, where I am given too little information to solve...
Ahsome
  • Ahsome
Let \(x\) be the total velocity \(x_h=x\times\cos\left(\theta\right)\) \(x_y=x\times\sin\left(\theta\right)\) \[t=\frac{96.90}{x\times\cos\left(\theta\right)}\] \[s_y=x_yt+\frac{1}{2}a_yt^2\] \[0=x\times\cos\left(\theta\right)\times\left(\frac{96.90}{x\times\cos\left(\theta\right)}\right)+\frac{1}{2}\times-9.8\times\left(\frac{96.90}{x\times\cos\left(\theta\right)}\right)^2\]

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More answers

anonymous
  • anonymous
If the world record is set then the angle of elevation should be 45 degrees otherwise it would not have been a record
Ahsome
  • Ahsome
Then why would they ask for elevation angle..?
Ahsome
  • Ahsome
Whoops, thats meant to be \(x\times \sin\left(\theta\right)\)
Ahsome
  • Ahsome
For \(x_y\)
Ahsome
  • Ahsome
Any dieas @ganeshie8 @UnkleRhaukus ?
UnkleRhaukus
  • UnkleRhaukus
i also think it is justified to use 45° as the elevation angle
Ahsome
  • Ahsome
But I still don't know why they would ask it in the question... let me look at the solution
Ahsome
  • Ahsome
Wow. The angle is 45 degrees in the book -_-
Ahsome
  • Ahsome
Can you solve it without knowing the angle?
anonymous
  • anonymous
its like common sense @Ahsome :P
nincompoop
  • nincompoop
you cannot use common sense in physics
Ahsome
  • Ahsome
@nincompoop, TRUTH
Ahsome
  • Ahsome
But I guess I'll just assume you had to assume the whole time..?
anonymous
  • anonymous
any other ideas?? @nincompoop
ganeshie8
  • ganeshie8
|dw:1434178782194:dw|
nincompoop
  • nincompoop
|dw:1434178667144:dw|
nincompoop
  • nincompoop
90 degrees would most likely not reach the distance horizontally
nincompoop
  • nincompoop
|dw:1434178899967:dw|
ganeshie8
  • ganeshie8
For a given range, the max height could be "anything", so there is no unique answer. To get an unique answer we need to use a bit of common sense here that the given range is the world record (maximum possible for a given velocity)
anonymous
  • anonymous
thankyou @ganeshie8
Ahsome
  • Ahsome
The answer itself says the angle is 45 degrees
nincompoop
  • nincompoop
|dw:1434178985932:dw|
nincompoop
  • nincompoop
45 degree angle is the optimal angle provided the same newton force is applied
nincompoop
  • nincompoop
as the egg elevates gravity is pushing it down
Ahsome
  • Ahsome
Then why would part of the question ask what is the angle...
nincompoop
  • nincompoop
http://www.schoolphysics.co.uk/age16-19/Mechanics/Kinematics/text/Projectiles_projection_at_an_angle/index.html
ganeshie8
  • ganeshie8
They are testing if you know that the maximum is achieved when \(\theta = 45\) you may prove it if you want to..
ganeshie8
  • ganeshie8
*maximum range
ganeshie8
  • ganeshie8
You need to assume the starting speed is constant (all humans have more or less same throwing power) and vary only the angle and see which angle produces maximum range
nincompoop
  • nincompoop
correct, and that is determined by the velocity of the egg itself
ganeshie8
  • ganeshie8
\[R = \dfrac{v_0^2\sin(2\theta)}{g}\] what angle makes \(R\) large ?
Ahsome
  • Ahsome
45 degrees? Since \(45\times 2=90\) and \(sin(90)=1\)
ganeshie8
  • ganeshie8
Yep! maybe just put that for justification
nincompoop
  • nincompoop
correct
Ahsome
  • Ahsome
Ahh, thanks @ganeshie8 and @nincompoop and everybody who helped :D
ganeshie8
  • ganeshie8
np:) please medal divu.mkr not me
Ahsome
  • Ahsome
If you say so @ganeshie8 ;)

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