After striking a floor a rubber ball rebouds $(\frac{7}{8})^{t h}$ of the height from which it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 420 meters ?

2940

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6300

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1080

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3360

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Solution

The correct option is B 6300
The sum of the total distance it travels would be given by the infinite sum of the series :
$420 \times \frac{8}{1} + 367.5 \times \frac{8}{1} = 3360 + 2940 = 6300$ .

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After striking a floor a rubber ball rebouds (78)th of the height from which it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 420 meters ?

The correct option is B 6300The sum of the total distance it travels would be given by the infinite sum of the series : 420×81+367.5×81=3360+2940=6300.

After striking a floor a rubber ball rebouds $(\frac{7}{8})^{t h}$ of the height from which it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 420 meters ?

The correct option is B 6300
The sum of the total distance it travels would be given by the infinite sum of the series :
$420 \times \frac{8}{1} + 367.5 \times \frac{8}{1} = 3360 + 2940 = 6300$ .