# The ball is with a slow constant speed

The simulation
from Motion in 2D, was able to present acceleration and velocity in the form of
arrows. The green arrows represented velocity and the blue arrows represented
acceleration. When the red ball was dragged the velocity increases. When the
dragging of the ball is halted, deceleration occurs. The deceleration vector is
always the opposite of acceleration vector.

If the red ball
is dragged in a circular path, the velocity is changing at every point because
of the change in direction. This causes the blue arrow to remain at a constant,
while the green arrow is changing. The ball would be in centripetal acceleration
due to its changing velocity. On the other hand, if the ball is with a slow constant
speed very little acceleration occurs. If the ball is rapidly moved back and
forth the velocity of the ball changes and causes the acceleration to increase
rapidly too. The vector during this action flashed and stretched across the
screen.

Simple harmonic motion and uniform circular
motion were also observed. Uniformed circular motion of an object in a circle
at a constant speed. Since the ball is moving during the action in a constant
circle, it means that the direction is always changing. When the direction is
always changing, it simply means that the velocity is not at a constant. Simple
harmonic is a type of periodic motion where the restoring forces are directly
proportional to the displacement and acts in the opposite direction of displacement.

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The red ball
could be compared to a field goal kick from a football player. This simulation was
able to give visual examples of how velocity and acceleration play a role in the
football realm. Kickers on football teams deal with all types of environmental
factors during their play, and one of the most relevant topics are cross wind. Cross
winds can cause players to subconsciously take acceleration and velocity into
consideration. If Jake accelerates the
ball initially in a half circular path towards the field goal at due North at
80 m/s and the cross winds are blowing east to west 20 m/s, the resultant
velocity will have to be calculated. When the ball hits the ground its path is
halted, which caused deceleration and the play is over. If this quick
math does not occur than their accuracy of the kick will decrease
substantially. It is possible for

the player to measure the amount of
acceleration and velocity change that is needed to make a field goal if they
miles per hour the wind is blowing. If the resultant velocity of the ball can
be obtained, he can figure out what degree mark the ball will make it through
the field goal. This will increase accuracy, as long as he can keep the
acceleration of the ball at a constant speed that he used in his calculations.

Categories: Math

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