Homework: Projectile Motion of a Skydiver with Wind Effect

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SUMMARY

The discussion focuses on the physics of a skydiver deploying a parachute at 860 meters above ground, descending at a constant speed of 5.8 m/s while being affected by a westward breeze of 2.0 m/s. The angle of descent with respect to vertical was calculated as 19 degrees. However, the method for determining the horizontal distance missed from the landing spot was incorrectly applied, as the parachutist's descent is not influenced by gravitational acceleration (g = 9.8 m/s²) due to the parachute's steady descent.

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LadyW
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Homework Statement


A skydiver deploys his parachute when he is 860 m. directly above his desired landing spot. He then falls through the air at a steady 5.8 m/s . There is a breeze blowing to the west at 2.0 m/s. At what angle with respect to vertical does he fall? By what distance will he miss his desired landing spot?


Homework Equations


xf=xi+Vxi*t
yf=yi+Vyi*t-1/2*g*t^2


The Attempt at a Solution


I was able to find the angle by finding the tan^-1=71, and then 90-71=19
However, I completely stucked with the second answer. I was going to find first t:
0=860m+5.8m/s*t-1/2*9.8m/s^2*t^2
and then xf=2.0m/s*t but apparently that's the wrong answer. I guess the mistake is somewhere in the equations...Please, can you help me out? Thank you so much!
 
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LadyW said:

Homework Statement


A skydiver deploys his parachute when he is 860 m. directly above his desired landing spot. He then falls through the air at a steady 5.8 m/s . There is a breeze blowing to the west at 2.0 m/s. At what angle with respect to vertical does he fall? By what distance will he miss his desired landing spot?


Homework Equations


xf=xi+Vxi*t
yf=yi+Vyi*t-1/2*g*t^2


The Attempt at a Solution


I was able to find the angle by finding the tan^-1=71, and then 90-71=19
However, I completely stucked with the second answer. I was going to find first t:
0=860m+5.8m/s*t-1/2*9.8m/s^2*t^2
and then xf=2.0m/s*t but apparently that's the wrong answer. I guess the mistake is somewhere in the equations...Please, can you help me out? Thank you so much!

The parachutist is not really undergoing projectile motion - he is merely descending at constant speed.

When calculating his descent time, there is no reference to g (9.8) as his parachute eliminates it.
 

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