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A skydiver jumps out of a helicopter and falls freely for 9.0 seconds before opening the parachute..

1. What is the the skydivers downward velocity when the parachute opens?
2. How far below the helicopter is the skydiver when the parachute opens?

1 Answer

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The skydiver's downward velocity when the parachute opens can be calculated using the equation of motion:
vf = vi + g * t

where vf is the final velocity, vi is the initial velocity (0 m/s, since the skydiver is in free fall), g is the acceleration due to gravity (9.8 m/s^2), and t is the time (9.0 s).

vf = 0 + 9.8 m/s^2 * 9.0 s = 88.2 m/s

So, the skydiver's downward velocity when the parachute opens is 88.2 m/s.

The distance the skydiver falls during the 9.0 seconds can be calculated using the equation:
d = vi * t + 0.5 * g * t^2

where d is the distance, vi is the initial velocity (0 m/s), g is the acceleration due to gravity (9.8 m/s^2), and t is the time (9.0 s).

d = 0 * 9.0 s + 0.5 * 9.8 m/s^2 * 9.0 s^2 = 405 m

So, the skydiver is 405 meters below the helicopter when the parachute opens
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