In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long cannon with final speed of 10.97 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during their launch? (A human can stand an acceleration of 15g for a short time.)

m/s^{2}

Compare your answer with the free-fall acceleration, 9.80 m/s^{2} (i.e. how many times stronger than gravity is this force?). g

10.97km/s = 10970m/s
Average speed inside the cannon:
v(avg.) =( v(zero) + v(final))/2
v(avg.) = (0 + 10970)/2
v(avg) = 5485m/s
t = D/r
t = 220/5485
t = 0.0401s
v = at
a = v/t
a = 10970/0.0401
a = 273566 m/s^2