A skydiver jumps out of a helicopter and falls freely for 5.6 s before opening the parachute. (a) What is the skydiver's downward velocity when the parachute opens? Correct: Your answer is correct. m/s (b) How far below the helicopter is the skydiver when the parachute opens? Incorrect: Your answer is incorrect. m

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Answer:

A. 54.88m/s.

B. 153.66m

Explanation:

Data obtained from the question include:

Time (t) = 5.6 secs

A. Determination of the skydiver's downward velocity.

Time (t) = 5.6 secs

Acceleration due to gravity (g) = 9.8m/s²

Velocity (v) =..?

v = gt

v = 9.8 x 5.6

v = 54.88m/s

Therefore, the skydiver's downward velocity is 54.88m/s

B. Determination of the height below the helicopter.

Time (t) = 5.6 secs

Acceleration due to gravity (g) = 9.8m/s²

Height (H) =..?

H = ½gt²

H = ½ x 9.8 x 5.6²

H = 153.66m

Therefore, the height below the helicopter when the parachute opens is 153.66m.

The final velocity of the skydiver when the parachute opens is 54.88 m/s.

The distance traveled by the skydiver during this time is 153.66 m.

The given parameters;

  • time of motion of the skydiver, t = 5.6 s
  • acceleration due to gravity, g = 9.8 m/s²

The final velocity of the skydiver when the parachute opens is calculated as follows;

[tex]v_f = v_0 + gt\\\\v_f = 0 + 9.8(5.6)\\\\v_f = 54.88 \ m/s[/tex]

The distance traveled by the skydiver during this time is calculated as follows;

[tex]h = v_0t + \frac{1}{2} gt^2\\\\h = 0 + (0.5 \times 9.8 \times 5.6^2)\\\\h = 153.66 \ m[/tex]

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