A person leaps from an airplane 9000 feet above the ground and deploys her/his parachute after 11 seconds. Assume that the air resistance both before and after deployment of the parachute results in a deceleration proportional to the person's velocity, but with a different constant of proportionality. Before deployment, take the constant to be 0.2 sec1, and after deployment use the value 1.3 sec¹. (The acceleration due to gravity is 32.2ft/sec². Note also that the constants of proportionality given are p = k/m, not k.) How fast is the person going when the parachute is deployed? speed 143.1607 ft/sec How high off the ground is the person when the parachute is deployed? height 1860.197 ft Approximately (to one decimal place) how long after the parachute deploys does the person reach the ground (give your answer in seconds)? time sec

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A person leaps from an airplane 9000 feet above the ground and deploys her/his parachute after 11 seconds. Assume that the air resistance both before and
after deployment of the parachute results in a deceleration proportional to the person's velocity, but with a different constant of proportionality. Before
deployment, take the constant to be 0.2 sec1, and after deployment use the value 1.3 sec ¹. (The acceleration due to gravity is 32.2ft/sec². Note also that the
constants of proportionality given are p = k/m, not k.)
How fast is the person going when the parachute is deployed?
speed= 143.1607 ft/sec
How high off the ground is the person when the parachute is deployed?
height= -1860.197 ft
Approximately (to one decimal place) how long after the parachute deploys does the person reach the ground (give your answer in seconds)?
time
sec
Transcribed Image Text:A person leaps from an airplane 9000 feet above the ground and deploys her/his parachute after 11 seconds. Assume that the air resistance both before and after deployment of the parachute results in a deceleration proportional to the person's velocity, but with a different constant of proportionality. Before deployment, take the constant to be 0.2 sec1, and after deployment use the value 1.3 sec ¹. (The acceleration due to gravity is 32.2ft/sec². Note also that the constants of proportionality given are p = k/m, not k.) How fast is the person going when the parachute is deployed? speed= 143.1607 ft/sec How high off the ground is the person when the parachute is deployed? height= -1860.197 ft Approximately (to one decimal place) how long after the parachute deploys does the person reach the ground (give your answer in seconds)? time sec
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