document.write( "Question 1089544: A rock is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. The rock travels up to a maximum height and returns downward, just missing the building and striking the ground below.
\n" ); document.write( "(a) Give the function (s(t)) that describes the height of the rock in terms of time t.
\n" ); document.write( "(b) Determine the time at which the rock reaches its maximum height and the maximum height in
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\n" ); document.write( "(c) For what time interval will the rock be more than 300 ft above ground level? (Round your
\n" ); document.write( "answer to two decimal places.)
\n" ); document.write( "(d) After how many seconds will it hit the ground? (Round your answer to two decimal places.)
\n" ); document.write( "(e) Sketch a graph of s(t) for t > 0 and label the points on the graph that correspond to the answers
\n" ); document.write( "found in parts (1b),(1c), and (1d). Label the points (1b),(1c), and (1d). \n" ); document.write( "

Algebra.Com's Answer #703897 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Your basic function for the height above the ground as the function of time is \r\n" );
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document.write( "          h(t) = .\r\n" );
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document.write( "MEMORIZE :  a)  the number 16 is the half of the gravity acceleration  g = 32 ft/s^2;  the first term  -16t^2  goes with the sign \"-\" (minus).\r\n" );
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document.write( "            b)  the vertical velocity stands as the coefficient at t  (200)  (positive if the initial velocity is directed up);\r\n" );
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document.write( "            c)  the initial height stands as the constant term (50).\r\n" );
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\n" ); document.write( "\n" ); document.write( "To complete your assignment and to learn all the theory and all details, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Problem on a projectile moving vertically up and down\r
\n" ); document.write( "\n" ); document.write( "    - Problem on an arrow shot vertically upward\r
\n" ); document.write( "\n" ); document.write( "    - Problem on a ball thrown vertically up from the top of a tower \r
\n" ); document.write( "\n" ); document.write( "    - Problem on a toy rocket launched vertically up from a tall platform\r
\n" ); document.write( "\n" ); document.write( "in this site, where youu find detailed solutions of similar problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Projectiles launched/thrown and moving vertically up and dawn\".\r
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