A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45 degrees to the horizontal. In physics, it is established that the height h of the golf ball is given by the function:

h(x) = (-32x^2) / (130^2) + x

x is the horizontal distance

a) Determine the height of the golf ball after is has traveled 100 feet.

Question

A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45 degrees to the horizontal.  In physics, it is established that the height h of the golf ball is given by the function:

h(x) = (-32x^2) / (130^2) + x

x is the horizontal distance

a) Determine the height of the golf ball after is has traveled 100 feet.

ybarrap · Answer

$$ h(x) = (-32x^2) / (130^2) + x $$ Plug in x=100: $$ h(100) = (-32(100)^2) / (130^2) + (100) $$ Exact Solution: http://www.wolframalpha.com/input/?i=+%28-32%28100%29^2%29+%2F+%28130^2%29+%2B+%28100%29 In feet.