(a) Explanation The direction of distance of the mouse and hawk is downwards. The diving speed of the hawk can be calculated by the time interval of descent. There is need to solve first for time interval of descent. The hawk and mouse both maintain their original horizontal velocity of 10.0 m/s , then the hawk only needs to observe their diving straight down. The path will appear to be a straight line angled less than 90 ° below horizontal. The mouse discovered the 197.0 m distance in the downwards vertical direction. The mouse is in free fall situation. Write the expression for free fall of mouse on the ground as. Δ y = v y i − 1 2 g t 2 Here, Δ y is vertical displacement in downwards direction, v y i is initial velocity along vertical, g is acceleration due to gravity and t is time interval. As initial velocity along vertical is zero that is 0 for v x i and − 9.80 m/s 2 for g . Substitute 0 for v x i and − g for g in above equation and rearrange in terms of time as. t = 2 Δ y g (I) Write the expression for time interval as. Δ t = ( t − 2.00 ) s (II) Here, Δ t is time interval. Write the expression for the horizontal distance during the same time interval as. Δ x = v x i Δ t (III) Here, Δ x is horizontal displacement and v x i is initial velocity along horizontal. Write the expression for total distance covered by the hawk as. Δ d = Δ x 2 + Δ y 2 (IV) Here, Δ d is the total distance (b) To determine The angle during the time of descent. (c) To determine The time interval at the time of free fall for mouse.

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

9th Edition

ISBN: 9781305266292

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 4, Problem 71AP

(a)

To determine

The diving speed of the hawk.

(b)

To determine

The angle during the time of descent.

(c)

To determine

The time interval at the time of free fall for mouse.

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Chapter 4, Problem 70AP

Chapter 4, Problem 72AP

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Chapter 4 Solutions

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

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The diving speed of the hawk.

Solution Summary: The author calculates the diving speed of the hawk and mouse by the time interval of descent. The path will appear a straight line angled less than 90° below horizontal.

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The angle during the time of descent.

The time interval at the time of free fall for mouse.

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Chapter 4 Solutions