cq_1_061

#$&*

Phy 121

Your 'cq_1_06.1' 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_06.1_labelMessages **

For each situation state which of the five quantities v0, vf, `ds, `dt and a are given, and give the value of each. 

• A ball accelerates uniformly from 10 cm/s to 20 cm/s while traveling 45 cm.

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

  Given:

v0 = 10 cm/s

vf = 20 cm/s

'ds = 45

Need: 'dt, a

vAve=(10cm/s+20/cm/s)/2)

=15 cm/s

'dt='ds/vAve

'dt=45 cm/ 15cm/s

=3 sec

a=(20cm/s-10cm/s)/3s

acceleration=3.3 cm/s^2

#$&*

• A ball accelerates uniformly at 10 cm/s^2 for 3 seconds, and at the end of this interval is moving at 50 cm/s.

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

Given:

vf=50 cm/s

acceleration=10 cm/s^2

'dt = 3 s

v0=50 cm/s-(10cm/s^2*3s)

v0=20 cm/s

vAve=(50cm/s+20cm/s)/2

vAve=35cm/s

`ds=35cm/s*3s=105cm

#$&*

• A ball travels 30 cm along an incline, starting from rest, while accelerating at 20 cm/s^2. 

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

Given:

 'ds = 30 cm

v0 = 0 cm/s

a = 20 cm/s^2

vf=sqrt(v0^2+2a`ds)

=sqrt(0^2+2(20cm/s^2)(30cm))

=sqrt(1200cm^2/s^2)=34.6cm/s

vAve=(v0+vf)/2

vAve=(0cm/s+34.6cm/s)/2

vAve=17.3cm/s

'dt='ds/vAve

`dt=30cm/17.3cm/s

'dt=1.73s

#$&*

Then for each situation answer the following:

• Is it possible from this information to directly determine vAve? 

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

 yes the problem above shows it!

#$&*

• Is it possible to directly determine `dv? 

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

 Yes, subtract v_0 from v_f

#$&*

** **

25 minutes

** **

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