A ball is thrown from point (0,0,0) with initial velocity v=vx0i + vy0j. The forces acting on the ball are given as gravitational force F = −mg and air friction force Fs = −bv. Where b is the coefficient of friction constant. a) Find the position and velocity of the ball as a function of time. b) What is the approximate distance from the origin when the ball lands? c) If the friction coefficient b is too small, what approximate the results you find in options a and b? Show it mathematically.
A ball is thrown from point (0,0,0) with initial velocity v=vx0i + vy0j. The forces acting on the ball are given as gravitational force F = −mg and air friction force Fs = −bv. Where b is the coefficient of friction constant. a) Find the position and velocity of the ball as a function of time. b) What is the approximate distance from the origin when the ball lands? c) If the friction coefficient b is too small, what approximate the results you find in options a and b? Show it mathematically.
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 13P: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed...
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A ball is thrown from point (0,0,0) with initial velocity v=vx0i + vy0j. The forces acting on the
ball are given as gravitational force F = −mg and air friction force Fs = −bv. Where b is the
coefficient of friction constant.
a) Find the position and velocity of the ball as a function of time.
b) What is the approximate distance from the origin when the ball lands?
c) If the friction coefficient b is too small, what approximate the results you find in options a and b?
Show it mathematically.
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