A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.
A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.
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![A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s
from the roof of a building 40 m high. Assume there is a force due to
v²
directed opposite to the velocity,
air resistance of magnitude
1325
where the velocity v is measured in m/s.
NOTE: Use g=9.8 m/s² as the acceleration due to gravity.
Round your answers to 2 decimal places.
a) Find the maximum height above the ground that the ball reaches.
Height:
m
b) Find the time that the ball hits the ground.
Time:
seconds
c) Use a graphing utility to plot the graphs of velocity and position
versus time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8653fb7-b707-4788-a9f7-bc6b680a671b%2Fe689b7ba-27d7-4070-802b-5664c3ee47b6%2F0js37y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s
from the roof of a building 40 m high. Assume there is a force due to
v²
directed opposite to the velocity,
air resistance of magnitude
1325
where the velocity v is measured in m/s.
NOTE: Use g=9.8 m/s² as the acceleration due to gravity.
Round your answers to 2 decimal places.
a) Find the maximum height above the ground that the ball reaches.
Height:
m
b) Find the time that the ball hits the ground.
Time:
seconds
c) Use a graphing utility to plot the graphs of velocity and position
versus time.
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