document.write( "Question 1093647: How long would it take for a ball dropped from the top of a
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document.write( "196-foot building to hit the ground? Round your answer to two decimal places.\r
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Algebra.Com's Answer #708291 by addingup(3677)![]() ![]() You can put this solution on YOUR website! To answer your question, we have to use the formula to approximate the distance in feet s that the ball (or any other object) falls freely from rest in t seconds: \n" ); document.write( "s = 16t^2 \n" ); document.write( "Now, you may wonder why 16, why not any other number. It's because the instantaneous acceleration, the acceleration of gravity, is 32 feet per second. The coefficient of the t^2 term is HALF the acceleration. When you get to calculus you'll learn how this works. \n" ); document.write( "So here we go: \n" ); document.write( "16t^2 = 196 \n" ); document.write( "t^2 = 196/16 \n" ); document.write( "t^2 = 12.25 \n" ); document.write( "t = sqrt(12.25) \n" ); document.write( "t = 3.5 seconds \n" ); document.write( " \n" ); document.write( " |