Homework: Projectile Motion of a Skydiver with Wind Effect

AI Thread Summary
The skydiver falls at a steady speed of 5.8 m/s while being affected by a westward breeze of 2.0 m/s. The angle of descent relative to the vertical is calculated to be 19 degrees. However, the calculation for the distance missed from the landing spot is incorrect due to misunderstanding the role of gravity in this scenario. Since the parachute stabilizes the descent, gravity does not factor into the time of descent. The correct approach involves calculating the time to fall 860 m and then using that to determine the horizontal displacement caused by the wind.
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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