Express the vector r~ a b c d p r in terms of a~ , b~ , c~ , and d~ , the edges of a parallelogram. 1. r~ = c~ + d~ 2. r~ = a~ − b~ 3. r~ = a~ − c~ 4. r~ = a~ + d~ 5. r~ = b~ + d~ 6. r~ = b~ − a~ 7. r~ = a~ − d~ 8. r~ = b~ + a~ 9. r~ = d~ − a~ 10. r~ = c~ + b

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Which fact supports the conclusion that there will be fewer farm managers in the future? a) a farmer manager’s duties vary by the type of farm. b) farm technology is replacing some administrative jobs c) farm managers often need experience but not education. d) administrative duties include budgeting and training staff.

An athlete swings a ball, connected to the end of a chain, in a horizontal circle. the athlete is able to rotate the ball at the rate of 8.13 rev/s when the length of the chain is 0.600 m. when he increases the length to 0.900 m, he is able to rotate the ball only 6.04 rev/s. (a) which rate of rotation gives the greater speed for the ball? 6.04 rev/s 8.13 rev/s (b) what is the centripetal acceleration of the ball at 8.13 rev/s? m/s2 (c) what is the centripetal acceleration at 6.04 rev/s? m/s2