A soccer ball kicked by a Real Madrid midfielder leaves the player's foot at a speed of 68 mph at an angle θ above the horizontal. Find the angle θ, in radians, that will maximize the distance traveled downrange. (Use g = 32 ft/sec2.) Find the maximum height and distance traveled downrange, in ft, at the optimal angle. (Round your answers to two decimal places.) maximum height ft distance traveled downrange ft

just needed some points but try socratic

answer: (x+2) (x+3) are the binomials for your question : )

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.