The distance, d, a ball travels down an inclined plane is

Chapter 7, Problem 7.2.8

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The distance, d, a ball travels down an inclined plane is directly proportional to the square of the total time, t, of the motion. a. Express this relationship as a function where d is the dependent variable. b. If a ball starting at rest travels a total of 4 feet in 0.5 second, find the value of the constant of proportionality in part (a). c. Complete the equation and solve for t. Is t directly proportional to d? 9. a. Assume L is directly proportional to x5 . What is the effect of doubling x? b. Assume M is directly proportional to xp, where p is a positive integer. What is the effect of doubling x?

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