An osprey (a type of bird) stands on the edge of a river that is 70 meters across. It then takes off and ies along a path described by the parametric equation 8 t + 1 3/2 use) = t2 ya) = % . The equation gives the osprey's position in meters at time t (in seconds) where t = U is the moment the osprey takes off. The 3:03) functions gives the horizontal distance traveled and the y(y) gives the vertical distance traveled (see picture below). The osprey ies for 60 meters along the path described by the parametric equation given (not 60 meters in the x direction or 60 meters in the y direction, but 60 meters ALONG the path). The instant the osprey reaches 60 meters it dives straight down to the river to catch a sh! (a) How long (in seconds) was the osprey ying for before it started the dive to the water? (b) In that time, does the osprey y too far and dive into land, or does the osprey dive safely into the river? You must justify your answer. (c) How far (in meters) does the osprey dive (down) before hitting the ground/river