Question 427100
April shoots an arrow upward into the air at a speed of 64 ft per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t)=-16t^2+64t+34, where t is the time in seconds. What is the maximum height of the arrow?
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The max is the vertex of the parabola, on the line of symmetry t = -b/2a
t = -64/-32 = 2 seconds
h(2) = -16*4 + 64*2 + 34
h(2) = 98 feet, the max ht