An eagle is flying horizontally at 30 ms − 1 , 100 m above the ground. It was carrying a mouse in its grasp, which is released at a certain instant. The eagle continues on its path at the same speed f

Question

An eagle is flying horizontally at 30 ms − 1 , 100 m above the ground. It was carrying a mouse in its grasp, which is released at a certain instant. The eagle continues on its path at the same speed for 2 s before attempting to retrieve its prey. To catch the mouse it dives in a straight line at constant speed and recaptures the mouse 20 m above the ground. Neglect air resistance ( g = 10 ms − 2 ) List - I List - II (A) The diving speed of the eagle in ms − 1 (P) 4 (B) Diving distance of the eagle in m (Q) 100 (C) Mouse's free fall time in second (R) 37 (D) Angle made by eagle with vertical (S) 50 (T) 53

TestHub · Accepted Answer

Horizontal distance covered by eagle before diving $= 30 \times 2 = 60$ For mouse $80 = \frac{1}{2} gt^{2} \Rightarrow t = \frac{160}{10} = 16 = 4 s$

Horizontal displacement of mouse $= 30 \times 4 = 120 m$

Diving distance $= 120 - 60 = 60 m$ $\Rightarrow BC = 8 0^{2} + 6 0^{2} = 100 m$

The diving speed $= \frac{100 m}{2 s} = 50 ms^{- 1}$

Free fall time for mouse $= 4 s$

Angle made with vertical $tan θ = \frac{60}{80} = \frac{3}{4} \Rightarrow θ = tan^{- 1} (\frac{3}{4}) = 3 7^{0}$

Physics - Kinematics Question with Solution | TestHub

Options:

Doubts & Discussion

List - I	List - II
(A) The diving speed of the eagle in $ms^{- 1}$	(P) 4
(B) Diving distance of the eagle in m	(Q) 100
(C) Mouse's free fall time in second	(R) 37
(D) Angle made by eagle with vertical	(S) 50
	(T) 53