a) stones are thrown horizontally with the same velocity fromthe tops of two dif

Question

a) stones are thrown horizontally with the same velocity fromthe tops of two different buildings. One stone lands twice asfar from the base of the building from which it was thrown as doesthe other stone. Find the ratio of the height of the tallerbuilding to the height of the shorter building. answer: 4 times b)a baseball is hit into the air at an initial speed of36.6m/s and an angle of 50.0oabove the horizontal. At the same time, the center fielder starts running away from thebatter and catches the ball 0.914m above the level at which it washit. If the center fielder is initially 1.10*102mfrom home plate, what must be his average speed? answer: 4.2m/s a) stones are thrown horizontally with the same velocity fromthe tops of two different buildings. One stone lands twice asfar from the base of the building from which it was thrown as doesthe other stone. Find the ratio of the height of the tallerbuilding to the height of the shorter building. answer: 4 times b)a baseball is hit into the air at an initial speed of36.6m/s and an angle of 50.0oabove the horizontal. At the same time, the center fielder starts running away from thebatter and catches the ball 0.914m above the level at which it washit. If the center fielder is initially 1.10*102mfrom home plate, what must be his average speed? answer: 4.2m/s

Explanation / Answer

Horizontal range R = v [ 2 h / g ] Velocity v is same . So, R h ( R ' / R ) = [ h ' / h ] From problem R ' = 2 R plug this weget 2R / R = [ h ' / h ]                                2 = [ h ' / h ] So, ratio of  taller building to the height of theshorter building h ' / h = 2 ^ 2 = 4

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