document.write( "Question 95647: I hope I put the correct type of problem in my title. I am taking an online class in College Algebra and I can't figure what they are asking for in the assignments. It has been 30 years since I have done algebra. Please help me with this problem. Thank you in advance. I did solve some of the questions, I think they are right. I didn't know how to get c & d.
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet. \r
\n" );
document.write( "\n" );
document.write( "a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.\r
\n" );
document.write( "\n" );
document.write( " Typing hint: Type t-squared as t^2
\n" );
document.write( "Answer: s=-16t^2+64t+25\r
\n" );
document.write( "\n" );
document.write( "b) How high is the rock after 1 second?
\n" );
document.write( " Answer:s=73
\n" );
document.write( " Show your work here:
\n" );
document.write( " S=-16(1^2)+64(1)+25
\n" );
document.write( " S=-16+64+25
\n" );
document.write( " S=73\r
\n" );
document.write( "\n" );
document.write( "c) After how many seconds will the graph reach maximum height?
\n" );
document.write( " Answer:
\n" );
document.write( " Show your work here:\r
\n" );
document.write( "\n" );
document.write( "d) What is the maximum height?
\n" );
document.write( " Answer:
\n" );
document.write( " Show your work here: \n" );
document.write( "
Algebra.Com's Answer #69691 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information. \n" ); document.write( "Typing hint: Type t-squared as t^2 \n" ); document.write( "Answer: s(t)=-16t^2+64t+25 \n" ); document.write( "Correct \n" ); document.write( "------------------- \n" ); document.write( "b) How high is the rock after 1 second? \n" ); document.write( "Answer:s=73 \n" ); document.write( "Show your work here: \n" ); document.write( "S(1)=-16(1^2)+64(1)+25 \n" ); document.write( "S(1)=-16+64+25 \n" ); document.write( "S(1)=73 ft. \n" ); document.write( "Correct \n" ); document.write( "----------------------- \n" ); document.write( "c) After how many seconds will the graph reach maximum height? \n" ); document.write( "Answer: \n" ); document.write( "Your height function is a quadratic with a=-16, b= 64 , c=25 \n" ); document.write( "The maximum height occurs when t=-b/2a = -64/(2*-16) = 2 seconds \n" ); document.write( "------------------ \n" ); document.write( "d) What is the maximum height? \n" ); document.write( "Answer: \n" ); document.write( "Show your work here: \n" ); document.write( "Find S(2) which is the height after 2 seconds \n" ); document.write( "S(2) = -16(2^2)+64(2)+25 \n" ); document.write( "S(2) = -64+128+25 = 89 ft \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |