Answer :
The acceleration of the runner is 0.9 m/[tex]s^{2}[/tex].
We have a runner has a mass of 89 kg he produces a force of 84 Newtons between the ground and his running shoes.
We have to determine the acceleration of the runner.
What is the formula to calculate the force on a body ?
The force on a body is the product of mass and acceleration. Mathematically -
F = ma
According to the question, we have -
Force = 84 N
Mass = 89 Kg
Therefore -
F = ma
84 = 89 x a
a = 84/89 = 0.9 m/[tex]s^{2}[/tex]
Hence, the acceleration of the runner is 0.9 m/[tex]s^{2}[/tex].
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Force = mass × acceleration
acc= force / mass
84N/89kg
= 0.94m/s
