SOLUTION: A frog jumps from a rock to the shore of a pond. Its path is given by the equation:y = -5/72x^2+5/3x , where x is the horizontal distance in inches, and y is the height in inches.

Question 964089: A frog jumps from a rock to the shore of a pond. Its path is given by the equation:y = -5/72x^2+5/3x , where x is the horizontal distance in inches, and y is the height in inches. What is the frog�s maximum height? How far had it traveled horizontally when it reached its maximum height?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!

By letting y=0, we can find the horizontal distance at the start (0 in traveled) and the end of the jump:

The frog traveled 24 inches to the shore.
The maximum height would be mid way, when x=12 in, so
ANSWER 1: Maximum height at 12 inches horizontal distance.

ANSWER 2: Maximum height was 10 inches.
This graph is sort of a picture of the jump:

RELATED QUESTIONS
A frog jumped 20 centimeters away from a door and then jumps again 15 centimeters away... (answered by greenestamps)

A frog jumps and takes 2 seconds to land. The path of the frog’s flight is best modeled (answered by Alan3354)

Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly... (answered by Edwin McCravy)

Please help me solve this word problem. I was doing well finding zeros of polynomial... (answered by stanbon)

Can you please help me solve this word problem? A frog leaps from a 1-foot high stump by (answered by ikleyn)

Please help me solve this word problem? A frog leaps from a 1-foot high stump by a pond... (answered by Boreal)

A frog is sitting on a stump 6 feet above the ground. It hops off the stump and lands on... (answered by stanbon)

hi ! I am in an online class for math, without lecture, so input of any kind is so... (answered by math_helper,ikleyn)

A grasshopper and a frog start together and jump along the same path. The grasshopper... (answered by Theo)