A ball was thrown such that the speed of the ball decreases by 5% every second. If the ratio of the final speed to the initial speed is 0.7737, find the time of travel (in seconds)?

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Solution

The correct option is E
5

Let the initial and final speeds be $x$ and $y$

$y = x (1 + \frac{5}{100})^{n}$

$0.7737 = (1 - \frac{5}{100})^{n}$

$T h u s,$

$n = 5 s e c o n d s$

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A ball was thrown such that the speed of the ball decreases by 5% every second. If the ratio of the final speed to the initial speed is 0.7737, find the time of travel (in seconds)?

The correct option is E 5 Let the initial and final speeds be x and y y=x(1+5100)n 0.7737=(1−5100)n Thus, n=5seconds

The correct option is E
5

Let the initial and final speeds be $x$ and $y$

$y = x (1 + \frac{5}{100})^{n}$

$0.7737 = (1 - \frac{5}{100})^{n}$

$T h u s,$

$n = 5 s e c o n d s$