Answer :
The magnitude of the average acceleration is [tex]4.2 m/s^{2}[/tex].
Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object.
As described in Newton's second law, the magnitude of an object's acceleration is the combined effect of two sources.
-The mass of this object is inversely proportional to the mass of the object.
-Depending on the material from which it is made.
Calculation :
Use the equation of linear motion:
[tex]v^{2} =( v_{0} )^{2} = 2a(x-x_{0} )[/tex]
Therefore
[tex]v = 0 m/s[/tex] - final velocity is zero
[tex]v_{0} = 5.0 m/s[/tex] - greater than initial Velocity
[tex]x - x_{0} = 3.0m[/tex] - this is the displacement.
now, a is what you are looking for.
[tex]0 = 5^{2} + 2a*3[/tex]
[tex]-25 = 6a[/tex]
[tex]a = \frac{-25}{6}[/tex]
[tex]a = -4.2 m/s^{2}[/tex]
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