document.write( "Question 763757: Help please! I'm so confused by this problem... \r
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document.write( "if an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s
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document.write( "(where h and s are in ft, t is in seconds and v is in ft/sec)\r
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document.write( "a package is thrown downward with an initial velocity of -5ft/sec from a helicopter at 300 ft.
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document.write( "a) what is the height of the package in 2 sec?
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document.write( "b) how long does it take to hit the ground? \n" );
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Algebra.Com's Answer #464997 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! f an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s \n" ); document.write( "(where h and s are in ft, t is in seconds and v is in ft/sec) \n" ); document.write( "============================================================================= \n" ); document.write( "note that an object thrown upward would have a positive value for the initial velocity (v)....in our case the object is thrown downward so the value for v is negative. \n" ); document.write( "============================================================================== \n" ); document.write( "a) what is height after 2 seconds? \n" ); document.write( "h = -16*t^2 +v*t + s \n" ); document.write( "h = -16*(2^2) -5*2 + 300 \n" ); document.write( "h = -64 -10 +300 \n" ); document.write( "h = 226 feet after 2 seconds \n" ); document.write( "============================================================================= \n" ); document.write( "b) how long does it take to hit the ground? that is h=0 \n" ); document.write( "0 = -16t^2 -5t + 300 \n" ); document.write( "divide by -1 and we get \n" ); document.write( "0 = 16t^2 +5 - 300 \n" ); document.write( "use quadratic formula \n" ); document.write( "t = (-5+sqrt(25-4*16*-300)) / 32 = 4.18 \n" ); document.write( "t = (-5-sqrt(25-4*16*-300)) / 32 = -4.49 \n" ); document.write( "t reaches the ground in 4.18 seconds \n" ); document.write( "============================================================================\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |