Calculating Deceleration and Force of Impact: Skateboarding Physics Homework

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Leroy, with a mass of 100 kg, experiences a deceleration of 45 m/s² after colliding with a brick wall while skateboarding at 9.0 m/s, coming to a stop in 0.2 seconds. To calculate deceleration, the equation v(t) = v0 + at is utilized, where the final velocity is zero. The force of impact is determined using the formula F = ma, resulting in a force of 4500 N. The discussion emphasizes the need for multiple equations to solve for both deceleration and force. Understanding these physics concepts is crucial for accurately solving the problem.
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Homework Statement



Leroy, who has a mass of 100kg, is skateboarding at 9.0 m/s when he smacks into a brick wall and comes to a dead stop in .2s

a. Show that his deceleration is 45 m/s^2.
b. Show that the force of impact is 4500N.


Homework Equations


I think the only equations that are needed are these:
a= NetForce/m
Weight = mg
Force= ma


The Attempt at a Solution



I tried a number of things, but I couldn't figure out how to get the deceleration. It's not in my book anywhere. All I have are the equations for acceleration. I've tried various configurations, but nothing seems to make sense.
 
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You can not use only 1 eq to find 2 variables. The 2nd eq you need is:
v(t) = v0 + at

Because he stops after 0.2s => v(0.2s) = 0. Plug them and find a => F
 
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