Goal of motion analysis is to describe, calculate, and predict:
When asked to analyze motion from a description and not a graph, start analysis by defining a positive direction and clearly stating the start and the end of the motion.
In any case of accelerated motion when three of the five principal motion variables are known, the remaining variables can be solved for using the kinematic equations.
The five principal motions are:
To calculate the missing values in a motion chart, use the three kinematic equations listed as follows
\Objects in Free Fall
When an object is in free fall, its acceleration is 10 m/s per second toward the ground.
Free fall means no forces other than the object’s weight are acting on the object.
A projectile is defined as an object in free fall.
But this object doesn’t have to be moving in a straight line.
If the object were launched at an angle, treat the horizontal and vertical components of its motion separately.
To approach a projectile problem, make two motion charts: one for vertical motion and one for horizontal motion.
The horizontal and vertical motion charts for a projectile must use the same value for time.
A model rocket is launched straight upward with an initial speed of 50 m/s. It speeds up with a constant upward acceleration of 2.0 m/s per second until its engines stop at an altitude of 150 m.
Find the terminal speed.
Sketch a graph of the speed of the object as a function of time.
Describe the motion in words, including what’s happening to the acceleration and/or the velocity
Solve a differential equation to find an expression for the velocity as a function of time
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