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Physics Notes 91007
The Professor and Otto: Two Dimensional Motion
G.R.A.S.P.
GGivenWrite down all the givens
RRequiredWrite down the reequired valuables
AAnalysisanalyze the problem in terms of the appropriate concepts/equations/diagrams
Ssolutionsolve the problem with the insight fromnyour analysis
Pparaphrase
Use algebra.
For constant velocityDelta x = v sub x delta t
delta v sub x = 0
a sub x =0
For constant accelerationdelta x = v sub x *t + .5((a sub x)(delta t)^2)
delta v sub x = a sub x delta t
a sub x = a sub ix
Givens
1
Length of race 50 m
2
Tortoise moves at constant velocity of .2 m/s
3
Hare moves with constant acceleration of .3 m/s^2 after 3 minutes of napping
Required: since the problem asks whether or not the hare will “catch up” with the tortoise despite
the hare’s nap, we want to find the position.
The position of both.
Analysis
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View Full DocumentX sub t = (3 minutes)(60 seconds/min) + .2 m/s delta t
X sub t is the final position of the tortoise for the given interval.
Required unknown variables= x sub h, x sub t, and delta t
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 Spring '08
 Schwarz
 Physics

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