document.write( "Question 338864: Please help me solve this :
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document.write( "If an object is thrown vertically upward from the ground with initial speed of 160 feet per second, its height (in feet) t seconds later is given by the function H(t) = -16t^2 + 160t
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document.write( "a) graph the function H(t)
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document.write( "b) use the graph in part a) to determine when the object will hit the ground
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document.write( "c) use the graph in part (a) to estimate how high the object will rise.\r
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document.write( "I think b) 4 seconds
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document.write( " c) 5 feet\r
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document.write( "Thank you for sending me correct answer \n" );
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Algebra.Com's Answer #243153 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! the graph is a downward opening parabola \n" ); document.write( "the maximum height is at the vertex , on the axis of symmetry\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the general equation for the axis of symmetry is ___ x = -b / (2a) \n" ); document.write( "___ in this case ___ x = -160 / [2(-16)] = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "H(5) = -16(5^2) + 160(5) = 400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so the max height is 400 ft and it takes 5 sec to get there\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time up equals time down , so the \"flight\" time is 10 sec \n" ); document.write( " |