A ramping launch (not full tilt, but say 3 seconds building up to 1/4 max pedal capability) up to 20 mph, followed by a slower accel 1/3 max pedal.
How do we get those approx instructions? Below:
Basic physics always applies
: Isquared x R is always the power (energy rate) lost in the motor, batteries, and wires. (The other types of losses in the motor also increase a little due to the higher torque needed for brisk acceleration, but we can neglect that extra bearing friction usually.)
"I" is the electric current
flowing, which is very high when flooring it
. THAT is the main power loss
, which creates extra heat in the battery, wires, windings, compared to taking it a bit easy on acceleration.
The main physics consideration above is a good starting place.
There are secondary
effects (motor windage, bearing friction, iron losses,etc.), which translate into a motor efficiency map:
View attachment 34247
... that basically tells us to ramp up torque as our fixed-gear ratio vehicle gains speed into the redest region of the graph where we get the highest motor efficiency.
IOTW, make a bee-line to the middle of the red region until you are at the traffic-limited speed target.
Granted, air drag builds as you increase speed too, so best not to accelerate too rapidly into that energy-wasting situation too soon either. And keep currrent (amps) down to avoid the blue region on the left side of the graph during low-speed operation. ......So a ramping launch (not full tilt, but say 3 seconds building up to 1/4 max pedal capability) up to 20 mph, followed by a slower accel 1/3 max pedal for that particular motor, and we assume our motors are at least similar to that efficiency map.
Deeper (Tech Warning: The following article could cause headaches unless you're into physics-engineering.):
Tutorial on how to calculate and simulate an electric motor for an electric vehicle (EV) design using Scilab and Xcos block diagrams