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 #755430 by Boreal(15235) $\"\"$ $\"About$

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the function is a convex upward parabola.
\n" ); document.write( "the t value at the vertex, the highest point, is at -b/2a=-(6)/-6, or 1
\n" ); document.write( "f(1)=-3+6+1=4 meters.
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