document.write( "Question 24543: suppose you throw a basebal straight up at a velocity of 64 ft per second.A funtion can be created by expressing distance above the ground, s , as a function of time, t. this function is (<
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document.write( "v0is the inital velocity in ft per second
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document.write( "so is intial distance above ground in ft. if you are stading on the ground , then s0= zero.\r
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document.write( "what is the function descibing this problem?\r
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document.write( "how high above the ground will the ball be after one sec?\r
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document.write( "how long will it take to hit the ground?\r
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document.write( "what is the maximum height and time attained by the ball?\r
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Algebra.Com's Answer #13085 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Hmmm...I think I have answered this one previously. Anyway, here it is again. \n" ); document.write( "The equation is correct: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After 1 second (t=1), the height of the baseball will be: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find when the baseball will hit the ground (s=0) by setting the function s(t) = 0 and solving for t. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The maximum height and time is found by finding the location of the vertex of this parabola. \n" ); document.write( "Since the parabola opens downward, the vertex will be at the maximum point of the vertex and will represent the maximum height attained by the baseball. \n" ); document.write( "The x-coordinate (or, in this problem, the t-coordinate) is given by: \n" ); document.write( " \n" ); document.write( "The a and b come from the standard form of the quadratic equation: \n" ); document.write( "In this case, a = -16, b = 64, and c = 0\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find this maximum eight, substitute t=2 into the original function and solve for s. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |