# Physics

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?

1. 👍 0
2. 👎 0
3. 👁 426
1. 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
Tf = 14.4 s. = Fall time.

Dx = Xo * Tf = -1.1m/s * 14.4=1.1 m.=
1.1m West of desired landing spot.

1. 👍 0
2. 👎 1
posted by Henry
2. Yoe = 364(66)

1. 👍 0
2. 👎 0
posted by Hr

## Similar Questions

1. ### physics

After deploying her parachute, a skydiver falls through the air with a constant speed of 7.00 m/s . As she falls, there is a constant breeze blowing west at 4.50 m/s If the skydiver deploys her parachute when she is 1100 m

asked by Anwar on September 15, 2017
2. ### 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

asked by Anonymous on September 27, 2011
3. ### 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

asked by jared on February 19, 2010
4. ### 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

asked by Max on February 15, 2010
5. ### 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

asked by Angie on January 25, 2010
6. ### 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

asked by Jaime on April 6, 2015
7. ### Science

During a space shuttle landing, a parachute deploys from the back of the shuttle as it taxis down the runway. In addition to the speed brake, the parachute helps the shuttle come to a complete stop. How does the parachute help

asked by Connie on May 18, 2015
8. ### 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

asked by Tony on April 5, 2015
9. ### physics

A skydiver of mass 81.5 kg (including outfit and equipment) floats downward suspended from her parachute, having reached terminal speed. The drag coefficient is 0.533, and the area of her parachute is 20.96 m^2 . The density of

asked by joy on February 22, 2018
10. ### physics

An 82.0 kg skydiver jumps out of a balloon at an altitude of 1 500 m and opens the parachute at an altitude of 195 m. (a) Assuming that the total retarding force on the diver is constant at 55.0 N with the parachute closed and

asked by Anonymous on March 8, 2012

More Similar Questions