A skydiver deploys his parachute when he is 1000m 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 1.9 m/s. At what angle with respect to vertical does he fall?

Question

Krish Mathews

Physics

5 April, 03:49

A skydiver deploys his parachute when he is 1000m 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 1.9 m/s. At what angle with respect to vertical does he fall?

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Answers (1)

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Alejandro Christensen · Answer 1

We can calculate his resultant speed.

Resultant speed is:

v^2 = 5^2 + 1,9^2

v = 5,349 m/s

Now we need to find angle between resultant speed and vertical speed.

cos (alpha) = 5/5.349 = 0.9347

alpha = 20,8 degrees

Answer is 20,8 degrees