A hawk is flying horizontally at 14.0 m/s in a straight line, 250 m above the ground. A mouse it has been carrying struggles free from its grasp. The hawk continues on its path at the same speed for 2.00 s before attempting to retrieve its prey. To accomplish the retrieval, it dives in a straight line at constant speed and recaptures the mouse 3.00 m above the ground.

(a) Assuming no air resistance, find the diving speed of the hawk.