Problem Set 2
Motion in one dimension
1.
The position of a pinewood derby car was observed at various times; the results are
summarized in the following table. Find the average velocity of the car for (a) the first
second, (b) the last 3 s, and (c) the entire period of observation.
t(s)
0
1.0
2.0
3.0
4.0
5.0
x(m)
0
2.3
9.2
20.7 36.8 57.5
2.
A particle moves along the x axis according to the equation x = 2.00 + 3.00t – 1.00t
2
, where x
is in meters and t is in seconds. At t = 3.00 s, find (a) the position of the particle, (b) its
velocity, and (c) its acceleration.
3.
A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of 5.00 m/s
2
as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum
time interval needed before it can come to rest? (b) Can this plane land on a small tropical
island airport where the runway is 0.800 km long?
4.
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 Spring '11
 Dutt
 Acceleration, Velocity, initial velocity, sports car, initial velocity v0, food pack

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