document.write( "Question 268960: I throw a ball inot the air in a movie theater. I throw it up with an initial velocity of 64 feet/scecond froam a balcony 10 feet high. The ceiling of the theater is 58 feet high. When will the ball hit the ceiling/ \n" ); document.write( "

Algebra.Com's Answer #197054 by psbhowmick(878) $\"\"$ $\"About$

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Height of ceiling from balcony, h = 58 - 10 = 48 ft.
\n" ); document.write( "Upward velocity of the ball while throwing, u = 64 ft/sec.
\n" ); document.write( "Acceleration due to gravity, g = 32 ft/s².\r
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\n" ); document.write( "\n" ); document.write( "The equation of motion is h = ut - (1/2)gt².
\n" ); document.write( "48 = 64t - (1/2) x 32 x t²
\n" ); document.write( "48 = 64t - 16t²
\n" ); document.write( "16t² - 64t + 48 = 0
\n" ); document.write( "t² - 4t + 3 = 0
\n" ); document.write( "(t-3)(t-1) = 0
\n" ); document.write( "So either t = 1 or t = 3. \r
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\n" ); document.write( "\n" ); document.write( "The answer will be the smaller value of 't' when the ball will hit the ceiling so t = 1.\r
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\n" ); document.write( "\n" ); document.write( "Ans. The ball will hit the ceiling after 1 second from the time of its throwing. \n" ); document.write( "

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