cq_1_081

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Phy 121

Your 'cq_1_08.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

** CQ_1_08.1_labelMessages **

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: ->->->->->->->->->->->-> :

v=25m/s-10m/s(1s)=15m/s

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• What will be its velocity at the end of two seconds?

answer/question/discussion: ->->->->->->->->->->->-> :

v=25m/s-10m/s(2s)=5m/s

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• During the first two seconds, what therefore is its average velocity?

answer/question/discussion: ->->->->->->->->->->->-> :

vAve=25m/s+5m/s/2=15m/s

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• How far does it therefore rise in the first two seconds?

answer/question/discussion: ->->->->->->->->->->->-> :

‘ds=15m/s*2s=30m

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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: ->->->->->->->->->->->-> :

v0=25m/s

a=10m/s^2

‘dt=3s

vf=25m/s-10m/s^2(3s)=-5m/s

v0=25m/s

a=10m/s^2

‘dt=4s

vf=25m/s-10m/s^2(4s)=-15m/s

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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: ->->->->->->->->->->->-> :

Ball reaches maximum height at vf = 0 and it has risen 31m.

0m/s = 25m/s + (-10m/s^2)’dt

-25m/s = (-10m/s^2)’dt

‘dt=-25m/s/(-10m/s/s) =2.5s

‘ds = 25m/s / 2 * 2.5s

‘ds = 12.5m/s * 2.5s

‘ds = 31m

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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: ->->->->->->->->->->->-> :

vf = -15m/s

v0 = 25m/s

vAve = (25m/s - 15m/s) /2 = 5m/s

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• How high will it be at the end of the sixth second?

answer/question/discussion: ->->->->->->->->->->->-> :

v0 = 25m/s

a = -10m/s/s

‘dt = 6s

vf = 25m/s -10m/s/s *6s

vf = 25m/s - 60m/s = -35m/s

‘ds = (25m/s - 35m/s) / 2 * 6s

‘ds = -5m/s * 6s

‘ds = 30m

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*#&!

&#Very good responses. Let me know if you have questions. &#