a baseball is thrown from height of 2meters and caught at the same height 38meters away. During its parabolic path, it reaches a maximum height of 16meters. Find the equation in std form which relates the height of the ball to the horizontal distance that it has traveled.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

a baseball is thrown from height of 2meters and caught at the same height 38meters away. During its parabolic path, it reaches a maximum height of 16meters. Find the equation in std form which relates the height of the ball to the horizontal distance that it has traveled.

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

From the given information we know that \((0,2)\) is the \(y\)-intercpet. And also \((38,2)\) is another point on the parabola. The line of symmetry is in the midpint between \(x=0\) and \(x=38\). So the line \(x=19\) is the line of symmetry. Since the maximum height is 16 meters, then \((19,16)\) is the vertex. Hence in the vertex form the parabola is of the form \(y=a(x-19)^2+16\) Plugin \((0,2)\) we have \(2=19^2a+16\) \(a=-\frac{14}{361}\). Hence \(y=-\frac{14}{361}(x-19)^2+16\) \(y=-\frac{14}{361}x^2+\frac{28}{19}x+2\)

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Not the answer you are looking for?

Search for more explanations.

Ask your own question