Answered: How to do linearization for physics in…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 47P

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why is the projectile motion in 2 directions can be studied as a combination of 2 one directions?
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1) A golf ball (mass = 47 grams) rolls with speed of 0.30 m/s toward the edge of a table which is 0.60 m high. %3D a) How many seconds is it in the air? b) How far out from the point directly below the tables edge does the ball hit the floor? The same golf ball is placed back on the table but this time is a sling shot shoots it at angle of 25 degrees with the table (horizontal) with an intial velocity of 1.55 m/s. c) Find the components of the initial velocity. d) What is the maximum height above the table the golf ball will reach?
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If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in a direction making an angle α with the horizontal, calculate the time required for the projectile to cross a line passing through the origin and making an angle β < α with the horizontal.

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How to do linearization for physics in a horizontally launched projectile problem?