Physics
posted by Aaron .
A skydiver deploys his parachute when he is 950m directly above his desired landing spot. He then falls through the air at a steady 5.0 m/s . There is a breeze blowing to the west at 1.1 m/s.
At what angle with respect to vertical does he fall?
By what distance will he miss his desired landing spot?

a. Vo = 5m/s @ 270o + 1.1m/s @ 180o.
X = 5*cos270 + 1.1*cos180 = 1.1 m/s.
Y = 5*sin270 + 1.1*sin180 = 5 m/s.
tanAr = Y/X = 5/1.1 = 4.54545
Ar = 77.6o = Reference angle.
A=180 + Ar = 180 + 77.6 = 257.6o, CCW.
A = 270  257.6 = 12.4o West of South.
b. Vo = 1.1/cos257.6=5.12 m/s @ 257.6o
Xo = 5.12*cos257.6 = 1.1 m/s.
Yo = 5.12*sin257.6 = 5.0 m/s.
h = Vo*t + 0.5g*t^2 = 950 m.
5t + 4.9t^2 = 950
4.9t^2  5t 950 = 0
Use Quadratic formula:
Tf = 14.4 s. = Fall time.
Dx = Xo * Tf = 1.1m/s * 14.4=1.1 m.=
1.1m West of desired landing spot. 
Yoe = 364(66)
Respond to this Question
Similar Questions

Physics
A skydiver, who weighs 682 N, is falling at a constant speed with his parachute open. Consider the apparatus that connects the parachute to the skydiver to be part of the parachute. The parachute pulls upward with a force of 669 N. … 
Physics
A skydiver, who weighs 650 N, is falling at a constant speed with his parachute open. Consider the apparatus that connects the parachute to the skydiver to be part of the parachute. The parachute pulls upward with a force of 620 N. … 
physics
A skydiver, who weighs 650 N, is falling at a constant speed with his parachute open. Consider the apparatus that connects the parachute to the skydiver to be part of the parachute. The parachute pulls upward with a force of 620 N. … 
physics
A skydiver deploys his parachute when he is 910 directly above his desired landing spot. He then falls through the air at a steady 5.4 . There is a breeze blowing to the west at 1.0 . Part A At what angle with respect to vertical does … 
math
When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2. The formula assumes that there is no air resistance. Find the time it takes a … 
Pre algebra
when a skydiver jumps from an airplane, the distance of d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2 (the formula asumes that there is no air resistance) find the time it takes … 
Math HELP!
When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2. The formula assumes that there is no air resistance. Find the time it takes a … 
Physics
The university skydiving club has asked you to plan a stunt for an air show. In this stunt, two skydivers will step out of opposite sides of a stationary hot air balloon 2,500m above the ground. the second skydiver will leave the ballon … 
Physics
The university skydiving club has asked you to plan a stunt for an air show. In this stunt, two skydivers will step out of opposite sides of a stationary hot air balloon 2,500m above the ground. the second skydiver will leave the ballon … 
Science  6th grade
A skydiver prepares to jump out of a plane. Explain how gravity and air resistance will affect the motion of the skydiver before and after he or she opens the parachute. My response : Gravity will pull the skydiver down to the ground. …