1) Debbie wants to determine the initial speed at which a spring toy shoots a marble....

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1) Debbie wants to determine the initial speed at which a spring toy shoots a marble. She assumes the toy shoots the marble with the same speed on every trial. She shoots the marble horizontally from different heights, using different numbers of bricks with equal heights of 20 cm on a table as a support. In every experiment she records the number of bricks and the distance D from the table at which the marble lands (see the table above). When she finishes collecting the data, she realizes that she has forgotten to measure the distance between the surface of the table and the floor, h. Determine the initial speed of the marble and the distance / using Debbie's data. (Hint: This problem requires linearization. First, express distance D as a function of initial speed of the marble and the height from which the marble is shot. Then rearrange the equation to obtain linear dependence on the height, plot the best-fit line, and determine unknown quantities from the quantities that you obtained from the graph.) 1) Debbie wants to determine the initial speed at which a spring toy shoots a marble. She assumes the toy shoots the marble with the same speed on every trial. She shoots the marble horizontally from different heights, using different numbers of bricks with equal heights of 20 cm on a table as a support. In every experiment she records the number of bricks and the distance D from the table at which the marble lands (see the table above). When she finishes collecting the data, she realizes that she has forgotten to measure the distance between the surface of the table and the floor, h. Determine the initial speed of the marble and the distance / using Debbie's data. (Hint: This problem requires linearization. First, express distance D as a function of initial speed of the marble and the height from which the marble is shot. Then rearrange the equation to obtain linear dependence on the height, plot the best-fit line, and determine unknown quantities from the quantities that you obtained from the graph.)

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Answer Let t be the time in which the marble covers the horizontal distance D then t Du whe... View the full answer