Calculating power give mass, time, distance

[Verloren]

Homework Statement

So I have a scenario given by my physics teacher that says a sprinter that weighs 56 kg ran a 50 meter race in 7 seconds. For the first second he accelerates, but for the 6 remaining seconds he goes at a constant pace. I'm supposed to calculate the power produced within the first second.

The Attempt at a Solution

I've tried using df=(vo+vf)/2 * t (where df=final distance, vo=initial velocity (0), and vf=final velocity) but since I'm not given the final distance traveled in the one second or the final velocity I'm not sure what to do.

The goal of finding final velocity is to maybe use it in the equation w=(1/2mvf2)-(1/2mvo2) (where m=mass vf=final velocity and vo=initlal velocity) to find work and then plug work into the equation P=w/t (p = power, w=work, t=time).

Any help concerning equations to look at or a relationship that I'm missing would be much appreciated

 

[xiaoB]

I've tried using df=(vo+vf)/2 * t (where df=final distance, vo=initial velocity (0), and vf=final velocity)d

Hi ! Veloren.

As i see if not going wrong.

The velocity just after one second and after one second is (50/7) m/s.Let say, the sprinter travel 50 meter in 7s for all distances meanwhile the end of the speed is (50/7) m/s.Therefore, just before the constant speed is equal to final speed instant 1s => Vf= 50/7 m/s.