Calculate force given power

I need to describe the motion (acceleration, velocity, time) of a
vehicle moving on a surface that may or may not be inclined, taking
into account rolling resistance and air drag, including wind. That
would be easy enough if I had a force, but I only have the power input
and mass. I know P = F · v, but the vehicle starts at rest, and
division by 0 doesn't work well. Anybody have any clue how I can go
about solving this.
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