A bird starts a parabolic path \( 5 \) metres above a lake when it spots a fish under the water. Two seconds after its descent it enters the water, catches the fish, and emerges after \( 4 \) seconds from the beginning of its descent. If it continues to follow the same path, how high will it be above the water after \( 5 \) seconds?
Pregunta
Answer
\(y= \frac{5}{8} (x- 3)^2- \frac{5}{8}\)
When x=5, y=\(\frac{15}{8}\)