Aboulder starts from rest at the top of a hill. as is goes down the slope, gps coordinates are used to determine the displacement as a function of time given below, where x and t are expressed in ft and seconds, respectively. determine the position, velocity, and acceleration of the boarder when t=5 seconds.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.