document.write( "Question 1123908: A stone is thrown upward with an initial velocity of 15.24 m/s. What will its maximum height be? When will it strike the ground? Where will it be in 1.30 s? \r
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document.write( "Thankyou in advance! \n" );
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Algebra.Com's Answer #740412 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A stone is thrown upward with an initial velocity of 15.24 m/s. \n" ); document.write( " What will its maximum height be? \n" ); document.write( ": \n" ); document.write( "Using -4.9 m/sec as the force of gravity \n" ); document.write( "h = -4.9x^2 + 15.24x \n" ); document.write( "Max height occurs at the axis of symmetry x=-b/(2a), a = -4.9, b=15.24 \n" ); document.write( "x = \n" ); document.write( "x = 1.555 sec it will be max height \n" ); document.write( "Find the actual height \n" ); document.write( "h = -4.9(1.555^2) + 15.24(1.555) \n" ); document.write( "h = -11,848 + 23.698 \n" ); document.write( "h = +11.7 meter is max height \n" ); document.write( ": \n" ); document.write( "When will it strike the ground? \n" ); document.write( "It strikes the ground when x=0 \n" ); document.write( "-4.9x^2 + 15.24x = 0 \n" ); document.write( "Factor out x \n" ); document.write( "x(-4.9x + 15.24) \n" ); document.write( "two solutions \n" ); document.write( "x = 0 initial position \n" ); document.write( "and \n" ); document.write( "-4.9x = -15.24 \n" ); document.write( "x = -15.24/-4.9 \n" ); document.write( "x = 3.11 sec to hit the ground \n" ); document.write( ": \n" ); document.write( " Where will it be in 1.30 s? \n" ); document.write( "x=1.3 \n" ); document.write( "h = -4.9(1.3^2) + 15.24(1.3) \n" ); document.write( "I'll let you calculate this \n" ); document.write( " |