cq_1_082

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Phy 121

Your 'cq_1_08.2' 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_08.2_labelMessages **

A ball is tossed upward at 15 meters / second from a height of 12 meters above the ground.  Assume a uniform downward acceleration of 10 m/s^2 (an approximation within 2% of the 9.8 m/s^2 acceleration of gravity). 

• How high does it rise and how long does it take to get to its highest point?  answer/question/discussion:

v_0=15m/s

v_f=0m/s

'ds=12 m

a=-10 m/s^2

vAve=(15m/s +0 m/s) / 2 =7.5 m/s

'ds=vAve*dt

=(7.5 m/s)*1.5 s

=11.25 m

•  #$&*

• How fast is it then going when it hits the ground, and how long after the initial toss does it first strike the ground?  answer/question/discussion:

12 m+11.25 m=23.25 meters

'ds=23.25 m

v_0=15 m/s

a= -10 m/s^2

v_f=v_0^2+2a*'dt

=sqrt(15 m/s)^2 + 2a * 'ds)

=sqrt (465 m^/s^2)

=21.6 m/s

dt=ds/vAve

vAve=(15 m/s+-21.6 m/s)/2

=-3.3 m/s

dt=ds/vAve

(-12 m)/(3.3 m/s)

=3.6 s

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• At what clock time(s) will the speed of the ball be 5 meters / second?  answer/question/discussion: 'dt=(vf-v0)/a

• 'ds=(5 m/s-15 m/s)/-10 m/s=1 second

• 'dt=-5 m/s-15 m/s/-10 m/s/=2 second#$&*

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Good but be careful about grouping and units:

'ds=(5 m/s-15 m/s)/(-10 m/s^2)=1 second

'dt=-(5 m/s-15 m/s)/(-10 m/s^2)=2 seconds

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• At what clock time(s) will the ball be 20 meters above the ground?

• To achieve a 20 meter height the vertical position must change by 8 meters because we started at 12 m and we increase to 8 m.

v_f^2=v_0^2+2a*ds t

v_f= 8.1 m/s

'dt=dv/a=(-6.9 m/s)/-10 m/s^2=.69

Velocity= -8 m/s, 2.31 s

• How high will it be at the end of the sixth second?answer/question/discussion:  ?????This problem confuses me, this is as far as I could get Help!

12 m = 15t + ½a * t^2

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This could work. a = -10 m/s^2.

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• #$&*

 

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45 minutes

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For some reason, I am struggling on this part!!!! Ah!

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You're doing well, but check the discussion at

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