document.write( "Question 452889: an object that is projected straight downward with an initial velocity of v per second travels a distance s = vt + 9t^2, where t=time in seconds. if dan is standing on a balcony 176 feet above the ground and throws a penny straight downward with an intial velocity of 8 feet per second, in how many seconds will it reach the ground? \n" ); document.write( "
Algebra.Com's Answer #311527 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! an object that is projected straight downward with an initial velocity of v per second travels a distance s = vt + 9t^2, where t=time in seconds. if dan is standing on a balcony 176 feet above the ground and throws a penny straight downward with an intial velocity of 8 feet per second, in how many seconds will it reach the ground? \n" ); document.write( ".. \n" ); document.write( "When the object reaches the ground it will have traveled 176 feet \n" ); document.write( "176=8t+9t^2 \n" ); document.write( "9t^2+8t-176=0 \n" ); document.write( "solve by following quadratic formula \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( ".. \n" ); document.write( "a=9, b=8, c=-176 \n" ); document.write( "t=[-8ħsqrt(8^2-4*9*-176)]/2*9 \n" ); document.write( "t=[-8ħsqrt(6400)]/18 \n" ); document.write( "t=(-8ħ80)/18 \n" ); document.write( "t=72/18=4 sec \n" ); document.write( "or \n" ); document.write( "t=-88/18=-4.88..(reject, time≥0) \n" ); document.write( "ans: \n" ); document.write( "The object wll reach the ground in 4 seconds. \n" ); document.write( " |