5. (Taken from Howard Seltman) The first Ariane 5 rocket failed 40 seconds after liftoff at a cost of $500 million. The cause was found to be conversion of the measured horizontal velocity from a 64 bit floating point value to a 16 bit signed integer. If the velocity is measured in cm/second and reaches 34165.23487 cm/s, what is the relative error due to the conversion? (Don't overthink. This is a trick question!) 5. (Taken from Howard Seltman) The first Ariane 5 rocket failed 40 seconds after liftoff at a cost of $500 million. The cause was found to be conversion of the measured horizontal velocity from a 64 bit floating point value to a 16 bit signed integer. If the velocity is measured in cm/second and reaches 34165.23487 cm/s, what is the relative error due to the conversion? (Don't overthink. This is a trick question!)