Performance Electric Vehicle Battery

Require EXPLAINED explanation to battery selection criteria for a Performance Electric Vehicle. Vehicle details/requirements/restrictions -Loaded Mass: 250-275kgs -Top speed (+- 5kmph): 65 kmph -Acceleration time for 75m: 3.9-4.2s -Power restriction: 80kW from battery end -Motors that will be used: EMRAX 228 Medium Voltage -Range: 35km (Driving under race conditions for 22km, balance 13km is safety factor from my end) -Inverter will be used: Unitek BAMOCAR-D3-700-400-x -Battery V max= 600 Vdc -Gear/transmission ratio: 3-3.5 (Single gear) Things/Explanation needed: -Basic understanding of how to go about selecting a battery for the situation given above? Like a step by step process -How to calculate battery voltage/ah/ etc required? -How to prove battery selection with mathematical formulations? -Difference between high and low battery ie. 300v vs 500v? How does it affect the performance of the car? -Benefits of high/low voltage battery on such a car. -How does power and velocity affect battery condition? -Explain best or desired Li-xx battery cells that can be used and why? -Battery discharge, how does it affect performance in driving and motor -Re-braking using the above setup. Calculations, charge capacity with the explanation.