A hawk is flying horizontally at 10.0 m/s in a straight line, 200 m above the gr

Question

A hawk is flying horizontally at 10.0 m/s in a straight line, 200 m above the ground. A mouse it has been carrying struggles free from its talons. 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 acts on the mouse, find the diving speed of the hawk. b.) What angle did the hawk make with the horizontal during its descent? c.) For what time interval did the mouse experience free fall?

Explanation / Answer

Part c) X = Xo + Vot + 1/2at^2 3 = 200 + (0*t) + (1/2 * -9.8 * t^2) t = 6.34 s Part a) x=v(t-2) x=10(6.34-2) = 43.4 y=200-3 = 197 d=sqrt(x^2+y^2) d = sqrt(43.4^2 + 197^2)=201.72 V_hawk= d/(t-2) V_hawk = 46.48 m/s Part b) tan^-1=(y/x) inverse tan (197/43.4) = 77.58 degrees please rate correctly this time.

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