Answer:
HP is power and power is related to work by
P = W / t work / time
W = F * S work = force * distance
F = M * a force = mass * acceleration
Thus
W = M * a * S from above
Since P = W / t we must have
P = M * a * S / t
Also S / t = average velocity over distance S
P = M * a * v
Or P = (M v ) * a
and power delivered = momentum * acceleration
Checking units:
Joules / sec = mass * meters/sec * meters /sec^2
kg m^2 / sec^3 = kg m^2 / sec^3