Fundamentals of Biomechanics by Özkaya Nihat & Nordin Margareta & Goldsheyder David & Leger Dawn

Fundamentals of Biomechanics by Özkaya Nihat & Nordin Margareta & Goldsheyder David & Leger Dawn

Author:Özkaya, Nihat & Nordin, Margareta & Goldsheyder, David & Leger, Dawn
Language: eng
Format: epub
Publisher: Springer New York
Published: 2012-05-31T04:00:00+00:00


Solution

This is a two-dimensional problem and can be analyzed in three steps. First, let x and y represent a coordinate frame moving with the vehicle. With respect to the xy frame, the ball thrown up into the air will undergo one-dimensional linear motion (translation) in the y direction (Fig. 9.24). Because of the constant downward gravitational acceleration, the ball will decelerate in the positive y direction, reach its maximum elevation, change its direction of motion, and begin to descend. With respect to the xy coordinate frame moving with the vehicle, or as observed by person B moving with the vehicle, the speed of the ball in the y direction between the instant of release and when the ball reaches its peak elevation can be determined from (see Chap. 7):

Fig. 9.24Relative to the xy frame, the ball is undergoing a translational motion in the y direction



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