Reflect:We could have taken downward to be Then and are all positive, but is negative. Thesame results are obtained with this alternative choice of coordinates.2.58.Set Up:Take to be in the direction the sled travels. Assume the acceleration is constant.Solve: (a)gives (b)(c)Solve for and compare to 40g. The figures are inconsistent, if the acceleration while stopping is constant. The acceleration while stopping couldreach 40gif the acceleration wasn’t constant.2.59.Set Up:Use subscripts f and s to refer to the faster and slower stones, respectively. Take to be upward andfor both stones. When a stone reaches the ground,Solve: (a)gives Since both stones have the same and(b)Since at the maximum height, then gives Since both have the sameand Reflect:The faster stone reaches a greater height so it travels a greater distance than the slower stone and takes moretime to return to the ground.2.60.Set Up:Take to be downward and Both coconuts have the same acceleration,Let Abe
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