In an experiment, a driver driving along at 15 miles per hour (22 ft/sec) is given without waning a signal to apply the breaks. tests show that the reaction time-that is the time from the signal to when 2-3 nature of measurement uncertainty the breaks lock-has a mean value of 68 seconds and an mms of 25 sec. assume that the road conditions are such that the frictional acceleration with breaks locked comes out 20 ft/sec (a) sketch the situation what is going on. (b) how far down the road from where the signal is given will the typical (average) driver stop? (c) between about what two distances down the road will 68 % of the drivers stop? (d) if you needed to figure out a distance drar down the road such that about 95% of a random. sample of drivers in these conditions could stop before reaching the distance d. what would you estimate for de? 4. given a block where each side is in the order of 10 cm or so. you want to fiqure out the volume of this block by measuring each side. suppose the measurement uncertainties for length, width and height are al, aw, ah. that is the measured length is like l l+al where l is the "true value" of length of the box. of course, the length of the box might be slightly different depending on the where the measurement is made. but ignore this fact and assume that the length tine laboratory 4nm nature of measurement uncertainty is even for the entire box, so the difference just comes from different ways of applying or reading the instrument. similarly, assume that weasured w+aw and h h±ah. find the expression for the volume including the measurement uncertainty for the volume of the box in the form of v d=v±av where v= lwh. express av to the lowest order in terms of al, aw, ah.