I'm to design the power train of a electric go kart for a competition. I'm having problems with numbers.(considering vehicle dynamics like air drag, rolling restiance)

Competition rules and restrictions on power tarin :

Max motor rating :2500w

Max battery ratings: 48v 35ah

Max system current:60a

What I'm trying to achieve :

Speed of 40-60kmph(I know 60kmph is probably far fetched with even 2500w motor)

Total runtime of 75minutes

Acceleration of 0.8-1m/s^2

Assumptions:

Kart weight: 180kg (if lead acid batteries)

Rolling resistance: 0. 01

Coeff of drag:0. 88 (not sure about this no)

frontal area of kart:1. 19m^2 (not sure about this either)

Radius of wheels: 0. 14m

*feel free to recommend appropriate numbers for coeff of drag and frontal area

Help me arrive at the required motor and battery spec. I arrived at the following numbers:

8Nm for 0.83m/s^2 acceleration

862.6rpm for 45kmph max speed

I'll show how I came to these numbers after I learn how to upload pics here. This is my first post here