Equations of Kinematics
–
Part 1
For each of the following situations, one of the eight (8) equations of
kinematics is best suited to solve the problem. You are to 1.) identify the
values of ea
ch variable from the problem, and 2.) choose
the equation that
BEST suites the given situation,
Number 1 is done as an example
1.
The flight speed of a small bottle rocket can vary greatly, depending on
how well its powder burns. Suppose a rocket is launched from rest so that
it travels 12.4 m upw
ard in 2.0 s.What is the rocket’s net acceleration?
Variables:
v
f
: not part of the problem
v
i
: 0
a:
unknown
Δx: 12.4 m
Δt: 2.0 s
Equation:
Δx = 1/2a(Δt)
2
2.
The shark can accelerate to a speed of 32.0 km/h in a few seconds.
Assume
that it
takes a shark 1.5 s to accelerate uniformly from 2.8 km/h to
32.0 km/h.
What is the magnitude of the shark’s acceleration?
Variables:
v
f
:
v
i
:
a:
Δx:
Δt:
Equation:
3.
In order for the Wright brothers’ 1903 flyer to reach launch speed,
it had
to be accelerated uniformly along a track that was 18.3 m long. A system
of pulleys and falling weights provided the acceleration. If the flyer was
initially at rest and it took 2.74 s for the flyer to travel the length of the
track, what was the
magnitude of its acceleration?
Variables:
v
f
:
v
i
:
a:
Δx:
Δt:
Equation:
4.
A certain roller coaster increases the speed of its cars as it raises them
to
the top of the incline. Suppose the cars move at 2.3 m/s at the base of
the inclin
e and are moving at 46.7 m/s at the top of the incline.
What is
the
magnitude of the net acceleration if it is uniform acceleration and
takes
place in 7.0 s?
Variables:
v
f
:
v
i
:
a:
Δx:
Δt:
Equation:
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