document.write( "Question 1202177: A marble leaves a 1.96 m high refrigerator with an initial horizontal velocity of 1.5 m/s.\r
\n" ); document.write( "\n" ); document.write( "a. What is the time required for the marble to hit the ground?\r
\n" ); document.write( "\n" ); document.write( "b. What is the horizontal distance between the edge of the refrigerator and the point where the marble lands?\r
\n" ); document.write( "\n" ); document.write( "c. What is the velocity of the marble just before it strikes the ground? \n" ); document.write( "

Algebra.Com's Answer #836821 by ikleyn(52921) $\"\"$ $\"About$

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\n" ); document.write( "A marble leaves a 1.96 m high refrigerator with an initial horizontal velocity of 1.5 m/s.
\n" ); document.write( "(a) What is the time required for the marble to hit the ground?
\n" ); document.write( "(b) What is the horizontal distance between the edge of the refrigerator and the point where the marble lands?
\n" ); document.write( "(c) What is the velocity of the marble just before it strikes the ground?
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\n" ); document.write( "\n" ); document.write( "I will solve the problem assuming that it came from Physics.\r
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document.write( "In this problem, the marble participates in two movements, at the same time.\r\n" );
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document.write( "Vertically, the marble falls with uniform acceleration g (free fall acceleration, or gravity acceleration).\r\n" );
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document.write( "Horizontally, it moves uniformly with the constant horizontal velocity.\r\n" );
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document.write( "(a)  In vertical direction, we have free fall, so\r\n" );
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document.write( "        H = ,\r\n" );
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document.write( "     where  H is the height in meters,  g = 9.81 m/s^ is the gravity acceleration, t is the time of falling.\r\n" );
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document.write( "     From this formula,\r\n" );
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document.write( "        t =  =  = 0.63 seconds  (rounded).\r\n" );
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document.write( "     It is the answer to the first question.\r\n" );
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document.write( "(b)  In horizontal direction, the travel is UNIFORM. THEREFORE, the horizontal traveled distance is\r\n" );
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document.write( "         = 1.5 * 0.63 = 0.945 meters.\r\n" );
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document.write( "     It is the answer to the second question.\r\n" );
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document.write( "(c)  At this part, I believe, the question is about the magnitude of the velocity,\r\n" );
document.write( "     without looking in its direction.\r\n" );
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document.write( "     Then you can apply the mechanical energy conservation law\r\n" );
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document.write( "           =  + mgH.\r\n" );
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document.write( "     Here m is the mass of the marble, H is the height.\r\n" );
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document.write( "     You may cancel the common factot \"m\" in both sides\r\n" );
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document.write( "           =  + gH.\r\n" );
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document.write( "     You will get then\r\n" );
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document.write( "           =  =  = 6.38 m/s.            \r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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