Rodney and Dennis are gleaning (collecting) corn from a cornfield that is 3.33.3 miles long. Rodney starts on one end and is gleaning corn at a rate of 0.250.25 miles per hour. Dennis starts on the other end and is gleaning corn at a rate of 0.300.30 miles per hour. If they start at the same time and continue to work at the same rate, how long will it be before Rodney and Dennis meet?

If its history of, then b) because a) implies only present day (now)

Ultra-high temperature (uht)

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.