Question

The path of an object projected at a 45 degree angle with initial velocity of 80 feet per second is given by the −32 2 function h(x) = (80)2 x + x where x is the horizontal distance traveled and h(x) is the height in feet. Use the TRACE feature of your calculator to determine the height of the object when it has traveled 100 feet away horizontally.

Answer 1

50 feet

Step-by-step explanation:

Given the the path of an object at a 45° with initial velocity of 80 feet per second modeled by the equation
`h(x) = (-(32)/(80^2) )x^2 + x` where;

x is the horizontal distance traveled and h(x) is the height in feet, if x is given as 100 ft, the height of the object will be gotten by simply substituting x = 100 into the modeled function as shown;

`h(x) = (-(32)/(80^2) )x^2 + x\\\\h(100) = (-(32)/(80^2) )100^2 + 100\\\\h(100) = (-0.005 )100^2 + 100\\\\h(100) = (-0.005 )10,000 + 100\\\\h(100) = -50 + 100\\\\h(100) =50 feet`

Hence height of the object when it has traveled 100 feet away horizontally is 50 feet.