Difference between revisions of "1958 AHSME Problems/Problem 22"
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== Problem == | == Problem == | ||
− | A particle is placed on the parabola <math> y | + | A particle is placed on the parabola <math> y = x^2- x -6</math> at a point <math> P</math> whose <math> y</math>-coordinate is <math> 6</math>. It is allowed to roll along the parabola until it reaches the nearest point <math> Q</math> whose <math> y</math>-coordinate is <math> \minus{}6</math>. The horizontal distance traveled by the particle (the numerical value of the difference in the <math> x</math>-coordinates of <math> P</math> and <math> Q</math>) is: |
<math> \textbf{(A)}\ 5\qquad | <math> \textbf{(A)}\ 5\qquad |
Revision as of 23:19, 13 March 2015
Problem
A particle is placed on the parabola at a point whose -coordinate is . It is allowed to roll along the parabola until it reaches the nearest point whose -coordinate is $\minus{}6$ (Error compiling LaTeX. ! Undefined control sequence.). The horizontal distance traveled by the particle (the numerical value of the difference in the -coordinates of and ) is:
Solution
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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All AHSME Problems and Solutions |
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