Power question involving sprinter

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To determine the horizontal force acting on a sprinter with a mass of 50.0 kg who runs 56.0 meters in 9.40 seconds with constant acceleration, first calculate the acceleration using kinematics. The equation X = 1/2 * a * t^2 can be used to find acceleration. Once acceleration is determined, apply F = ma to find the force. For power output at specific times (1.10, 3.70, and 5.20 seconds), use the formula P = work/t, where work is the product of force and distance. The key steps involve calculating acceleration, force, and then power output at the specified intervals.
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1. A 50.0 sprinter, starting from rest, runs 56.0 in 9.40 at constant acceleration
What is the magnitude of the horizontal force acting on the sprinter?
What is the sprinter's power output at 1.10 , 3.70 , and 5.20 ?




2. Homework Equations
I would imagine f=ma and possibly some kinematics for part a, and then P= work/t




3. The Attempt at a Solution :
I can't find the force which seems to be the hardest part
 
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angotta said:
1. A 50.0 sprinter, starting from rest, runs 56.0 in 9.40 at constant acceleration
What is the magnitude of the horizontal force acting on the sprinter?
What is the sprinter's power output at 1.10 , 3.70 , and 5.20 ?

2. Homework Equations
I would imagine f=ma and possibly some kinematics for part a, and then P= work/t

3. The Attempt at a Solution :
I can't find the force which seems to be the hardest part

You know F = M*a, so what is the constant acceleration?

X = 1/2*a*t2
 
I'm assuming the units on the three numbers in your first line are kg, m, and s respectively?

You're going to want to find the acceleration a first using one of your kinematics equations. Then identify the mass from your given information and plug m and a into your equation for force.
 
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