In an archery test, the acceleration of the arrow decreases linearly with distances from its initial value of 15600 ft/sec² at A upon release to zero at B after a travel of 35.7 in. Calculate the maximum velocity v of the arrow. B 35.7"

In an archery test, the acceleration of the arrow decreases linearly with distances from its initial value of 15600 ft/sec² at A upon release to zero at B after a travel of 35.7 in. Calculate the maximum velocity v of the arrow. B 35.7"

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

In an archery test, the acceleration of the arrow decreases linearly with distances from its initial value of 15600 ft/sec² at A upon
release to zero at B after a travel of 35.7 in. Calculate the maximum velocity v of the arrow.
A
Answer: v= i
BI
35.7"
S
ft/sec

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