Floor Nozzle
What is the time the water fell ?????
Water flows from the nozzle of a shower on the floor of 240 cm below. The drops fall at regular intervals (equal) intervals of time, the first drop to hit the ground at the moment down to fourth begins to fall. Find locations (above the floor in cm) of the second and third drops while that strikes first speech. Second drop? Drop third?
The time t for a drop fall distance h is given by h = gt ^ 2 / 2 where g is the acceleration of gravity. T ^ 2 = 2h / g ... (1) When the first drop hits the ground, the second cut is down from time 2t / 3 and the lower one third to time t / 3, and lower for the fourth time 0. The distance S2 decreased by lower 2nd is: s2 = g (2t / 3) ^ 2 / 2 = 2gt ^ 2 / 9 Substitution t ^ 2 (1): S2 = 4h / 9 The height above the floor of the 2nd drop is: H - s2 = 5h / 9 = 5 * 240 / 9 = 133 cm. to 3SF. Distance s3 reduced by lower 3rd one: S3 = g (t / 3) ^ 2 / 2 = gt ^ 2 / 18 Substitution of t ^ 2 (1): S3 = H / 9 The height above the floor of the 3rd fall is: H - s3 = 8 am / 9 = 8 * 240 / 9 = 213 cm. to 3SF.
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