cq_1_071

PHY 231

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A ball falls freely from rest at a height of 2 meters. Observations indicate that the ball reaches the ground in .64 seconds.

Based on this information what is its acceleration?

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

v0 = 0

'ds = -2m

'dt = 0.64s

v_avg = -2m/0.64s = -3.125m/s = -3.1m/s

vf = -6.2m/s

'dv = -6.2m/s

a = -6.2m/0.64s^2 = -9.6875m/s^2 = -9.7m/s^2

#$&*

Is this consistent with an observation which concludes that a ball dropped from a height of 5 meters reaches the ground in 1.05 seconds?

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

'ds = -5m

v0 = 0

'dt = 1.05s

v_avg = -5m/1.05s = -4.76m/s = -4.8m/s

vf = -9.6/s

'dv = -9.6/s

a = -9.6m/1.05s^2 = -9.14m/s^2 = -9.1m/s^2

It is similar

#$&*

Are these observations consistent with the accepted value of the acceleration of gravity, which is 9.8 m / s^2?

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

Almost. But not completely.

#$&*

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5 minutes

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