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Physics problem-solving examples for calculating deceleration and acceleration of meteorites and model rockets using kinematic equations. It includes diagrams, known and solve variables, and step-by-step solutions.
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Physics 151 – Kinematics Problem Solving Example-KEY
Problem: On October 9, 1992, a 27-pound meteorite struck a car in
Peekskill, NY, leaving a dent 22 cm deep in the trunk. If the meteorite struck
the car with a speed of 550 m/s, what was the magnitude of its deceleration,
assuming it to be constant?
Draw a simple diagram
showing the meteor’s starting
and ending points and the
origin and direction of increase of your
coordinate system.
Write out the values of the known and solve variables.
Known: Solve:
v 0
= 550 m/s a =?
v = 0 m/s
x = 0.22 m
What is the variable “Not Involved”? t
Which kinematic equation does that suggest that you should use?
2 2
0
Solve that kinematic equation for the variable of interest?
Plug in the known values and solve for the desired quantity?
And since we are asked for magnitude, the minus sign is not needed.
Are the units on your answer correct? YES Correct number of sigfigs? YES – 2!
Does your answer appear reasonable? Hard to say -- we should certainly expect a large
value of acceleration since the meteor is brought to a stop very quickly.
2 2
0
2 2
0
2 2
0
v v ax
v v ax
v v
a
x
( )
2
2
2 2
5 0
2
m m
v v m s s
a
x m s
Original top
of car trunk
Final top
of car trunk
meteor
v = 0 m/s
v 0
= 550 m/s
x = 0.22 m
X
26.0 m/s.
(a) How much time does it take for the rocket to reach this height?
Note that since the rocket has a constant acceleration (the only type of problem that we know
how to handle) and the initial velocity is zero, the average velocity must be half of the final
velocity. So I would write,
While your textbook writes:
(b) What was the magnitude of the rocket’s acceleration?
(c) Find the height and speed of the rocket 0.10 s after launch.
m m
s s
m
s
m m
0 s s 2
2
2 2
0 0
2
1 m 1 m
0 m 0 (0.10 s) 105.6 (0.10 s) 0.53 m
2 s 2
s
x x v t at