Suppose a golf ball is driven so that it travels a distance of 400 feet as measured along the ground and reaches an altitude of 300 feet. if the origin represents the tee and is the ball travels along a parabolic path over the positive x-axis, find an equation for the path of the golf ball. which form does the equation fit?

y = [ -3 /400 ] ( x - 200 )^2 + 300

Explanation:

Suppose a golf ball is driven so that it travels a distance of 400 feet as measured along the ground and reaches an altitude of 300 feet. If the origin represents the tee and is the ball travels along a parabolic path over the positive x-axis, find an equation for the path of the golf ball. Which form does the equation fit?

The given question tells us that our vertex is point (h,k), where h is the midpoint of the given horizontal i.e. 400/2 = 200, thus h=200 (horizontal) and k=300 (vertical). So we know we have two zeros with one x at 0 and x at 400.

from the equation of a parabola

y = a ( x - h )^2 + k. substituting the  values and solving to obtain a we have.

y = a (x - 200)^2 + 300

make a the subject of the equation

a = [ y-300 ] / [ ( x - 200)^2 ].

Now for y=0, x =400, thus we have\

a = [ 0 - 300 ] / ( 400 - 200 ) ^2, therefore

a = ( -300 ) / (200^2),

since

a = - 3 / 400.

So finally we have our equation reading as

y = [ -3 /400 ] ( x - 200 )^2 + 300.

because growing process had stoped after 4-5 year

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."