posted by student .
The pole vault landing pad at an Olympic competition contains what is essentially a bag of air that compresses from its "resting" height of 1.1 m down to 0.1 m as the vaulter is slowed to a stop.
(a) What is the time interval during which a vaulter who has just cleared a height of 6.9 m slows to a stop?
(b) What is the time interval if instead the vaulter is brought to rest by a 19.2-cm layer of sawdust that compresses to 4.6 cm when he lands?
i got a but but follwed theses steps below for b and got .025 and it was marked wrong. please help i don't know what i am doing wrong
(Time interval)*(average velocity during compression) = (compression distance)
(a) For H, use 6.9-1.1 = 5.8 m and a compression distance of X = 1.0 m
T*(1/2)*sqrt(2gH) = X
T = (2X)/sqrt(2gH)= 0.188 s
In part (b), use the same formula, but with H = 6.9 - 0.19 m and X = 0.146 m