A pole vault landing at an Olympic competition include what is basically a bag of air that compresses from its resting height of 1.4 m down to 0.3 m as the pole vaulter is slowed to a stop.
i) Determine the time interval throughout which a pole vaulter who has just cleared a height of 6.7m is slowed to stop.
ii) Determine the time interval which the vaulter is brought to rest through a .0218m layer of saw dust which compresses to .054m when he lands.