OK so I've calculated that the terminal velocity of a sperm whale is about 1617ft/s (270ft/round). Here's the calculation in case you were curious.

The question is, how much damage would that do, and in what aoe when it landed?

The idea is, a druid wild shapes into something that can fly then flys up a couple thousand feet above the enemy and casts summon nature's ally VII to summon a cachalot(sperm whale). Alternatively a spell caster could just fly up there with a mouse and then polymorph it, but thats just not quite as neat.

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V=√(2mg/pAC)

V=terminal velocity

m=mass. The average mass of a bull sperm whale is 41,000kg

g=acceleration due to gravity. On earth this is about 9.81m/s^2

p=density of air. At sea level this is 1.225kg/m^3

A=projected area. I believe the whale should fall head first. I couldn't find a source for this, but I estimate a sperm whale's head to be about 2.5m in diameter and roughly circular from the front. Using A=πr2 we get 4.91m^2

C=drag coefficient. I'm using .55

Now we plug it in. V=√(2(41000kg)(9.81m/s^2)/(1.225kg/m^3)(4.91m^2 )(.55))

V=√((804420kgm/s^2)/(3.308kg/m))

V=√(243174m^2/s^2)

V=493m/s or 1617ft/s (270ft/round)

V=terminal velocity

m=mass. The average mass of a bull sperm whale is 41,000kg

g=acceleration due to gravity. On earth this is about 9.81m/s^2

p=density of air. At sea level this is 1.225kg/m^3

A=projected area. I believe the whale should fall head first. I couldn't find a source for this, but I estimate a sperm whale's head to be about 2.5m in diameter and roughly circular from the front. Using A=πr2 we get 4.91m^2

C=drag coefficient. I'm using .55

Now we plug it in. V=√(2(41000kg)(9.81m/s^2)/(1.225kg/m^3)(4.91m^2 )(.55))

V=√((804420kgm/s^2)/(3.308kg/m))

V=√(243174m^2/s^2)

V=493m/s or 1617ft/s (270ft/round)

Sources:

Formula - en.wikipedia.org/wiki/Terminal_velocitySperm whale info - en.wikipedia.org/wiki/Sperm_whaleAir density - en.wikipedia.org/wiki/Density_of_airDrag coefficient - www.braeunig.us/space/cd.htm

The question is, how much damage would that do, and in what aoe when it landed?

The idea is, a druid wild shapes into something that can fly then flys up a couple thousand feet above the enemy and casts summon nature's ally VII to summon a cachalot(sperm whale). Alternatively a spell caster could just fly up there with a mouse and then polymorph it, but thats just not quite as neat.