A parachutist jumps out of an airplane and accelerates with gravity to a maximum velocity of 49.0 m/s in 5.00 seconds.She then pulls the parachute cord and after a 5.00-second constant deceleration,descends at 11.0 m/s for 60.0 seconds,reaching the ground.From what height did the parachutist jump?

A) 933 m
B) 810 m
C) 1,083 m
D) 1,593 m
E) 1,205 m

Question

A parachutist jumps out of an airplane and accelerates with gravity to a maximum velocity of 49.0 m/s in 5.00 seconds.She then pulls the parachute cord and after a 5.00-second constant deceleration,descends at 11.0 m/s for 60.0 seconds,reaching the ground.From what height did the parachutist jump?
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A) 933 m
B) 810 m
C) 1,083 m
D) 1,593 m
E) ​1,205 m

Quizplus · Accepted Answer

The parachutist accelerates with gravity for 5.00 seconds, reaching a maximum velocity of 49.0 m/s. The distance traveled during this time is:```d = (1/2) * a * t^2 = (1/2) * 9.8 m/s^2 * (5.00 s)^2 = 122.5 m```The parachutist then pulls the parachute cord and decelerates at a constant rate for 5.00 seconds, reaching a velocity of 11.0 m/s. The distance traveled during this time is:```d = v * t = 11.0 m/s * 5.00 s = 55.0 m```The parachutist then descends at a constant velocity of 11.0 m/s for 60.0 seconds, reaching the ground. The distance traveled during this time is:```d = v * t = 11.0 m/s * 60.0 s = 660.0 m```The total distance traveled by the parachutist is:```d = 122.5 m + 55.0 m + 660.0 m = 837.5 m```The height from which the parachutist jumped is:```h = d + 11.0 m/s * 5.00 s = 837.5 m + 55.0 m = 933 m```Therefore, the correct answer is A: 933 m.

A Parachutist Jumps Out of an Airplane and Accelerates with Gravity