document.write( "Question 1137550: A skateboarder decides to jump off a ramp. The path of the jump from the ramp can be approximated by: h=-3t^2+6t+1, where h is the height above the ground in metres, s is the horizontal displacement and t is the time after leaving the ramp in seconds. Show that the maximum height reached by the skateboarder is 4m. \n" ); document.write( "
Algebra.Com's Answer #755432 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I'd like to make couple of notices, regarding this post and the problem formulated in it.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "1. If the events, described in the post, take place at the Earth surface (and not at the moon surface, for example),\r\n" ); document.write( "\r\n" ); document.write( " then the coefficient at t^2 must be equal to -5 (or -4.9), which is half of the gravity acceleration\r\n" ); document.write( "\r\n" ); document.write( " at the Earth surface, expressed in m/s^2. It can not be equal to -3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2. The condition declares that \"s is the horizontal displacement\", but \" s \" absents in the post.\r\n" ); document.write( "\r\n" ); document.write( " So, the given part of the post describes the vertical movement only, without touching its horizontal displacement.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3. I make these my notes to help to the person, who created this problem, to get understanding that his (or her) formulation \r\n" ); document.write( "\r\n" ); document.write( " is partly wrong and partly incomplete, and to help to him (or to her) to develop further his (or her) knowledge on the subject.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Happy learning !\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "===================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To wider your horizon and to better learn the subject, see my 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.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher. \n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |