PHY 231
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A ball is tossed upward with an initial velocity of 25 meters / second. Assume that the acceleration of gravity is 10 m/s^2 downward.
• What will be the velocity of the ball after one second?
answer/question/discussion: ->->->->->->->->->->->-> :
It's velocity would be 15 ( 25 - 10 ) meters/ second after one second.
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• What will be its velocity at the end of two seconds?
answer/question/discussion: ->->->->->->->->->->->-> :
At the end of two seconds, its velocity would be 5 ( 25-10-10 ) meters/ second.
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• During the first two seconds, what therefore is its average velocity?
answer/question/discussion: ->->->->->->->->->->->-> :
It's average velocity would be 10 (( 15 + 5 )/ 2 ) meters per second.
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• How far does it therefore rise in the first two seconds?
answer/question/discussion: ->->->->->->->->->->->-> :
It would rise 20 ( 10 m * 2 ) meters.
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• What will be its velocity at the end of a additional second, and at the end of one more additional second?
answer/question/discussion: ->->->->->->->->->->->-> :
It's velocity would be -5 meters/ second after an additional second. And it would be another -10 meters/second every second, yielding a velocity of -15 meters/second at the end of two additional seconds.
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• At what instant does the ball reach its maximum height, and how high has it risen by that instant?
answer/question/discussion: ->->->->->->->->->->->-> :
The ball reaches its maximum height, 24 m, after two and a half seconds.
Calculations:
Velocity- 15 m ( after 1 seconds ) + 10 m ( after 2 seconds ) + 0 m ( 2.5 seconds )
20 m/ 2.5 = 8
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• What is its average velocity for the first four seconds, and how high is it at the end of the fourth second?
answer/question/discussion: ->->->->->->->->->->->-> :
It's average velocity after four seconds is 0 meters/ second.
Calculations:
( 15 + 5 - 5 -15 ) = 0
0 /4 = 0
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• How high will it be at the end of the sixth second?
answer/question/discussion: ->->->->->->->->->->->-> :
Relative to its starting position, it will be about 60 meters below.
Calculations:
( 15 m+ 5 m- 5 m-15 m-25 m- 35 m ) = -60 meters
vAve = 'ds/ 'dt
vAve= -60 / 6 = -10 meters/second
'ds = -10 meters/second * 6 seconds = -60 meters
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