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On the surface of planet F36J, you shoot a gun with a muzzle velocity of 35 m/s

ID: 2133602 • Letter: O

Question

On the surface of planet F36J, you shoot a gun with a muzzle velocity of 35 m/s straight up.  The bullet reaches a maximum height above the planet surface of 17.3 m.  What is the acceleration of gravity on this planet?


I realize that this a projectile motion problem.


My work: Viy= ViSin(75)= 35sin(75)=33.8


V=dx/dt

35= 17.3/t


t=0.49


Vyf=Vyi+at

0=33.8+a(0.49)

a=68.98


However, the answer is a= 35.4 m/s^2


What did I do wrong? I've been stuck on this problem for a while now and finally decided to ask for some help!  Any help is greatly appreciated :)  Thank you!  I basically need to know HOW to arrive to the answer since I already have the answer.

Explanation / Answer

The bullet has been shot directly upwards and not on an angle as u have considered

therefore acc. due to gravity g = v^2/(2*s)= 35^2/2/17.3 = 35.4m/sec


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