A and b only 11 A boy throws a ball with speed V m/s at an angle of 45° to the horizontal.a Derive expressions for the horizontal and vertical components of the displacement of the ball fromthe point of projection.b Hence show that the Cartesian equation of the path of the ball is y = x -8x2V2c The boy is now standing on a hill inclined at an angle 0 to the horizontal. He throws the ball atthe same angle of elevation of 45° and at the same speed of V m/s. If he can throw the ball 60metres measured down the hill, but only 30 metres measured up the hill, use the result in part (b) toshow that30g cos 060g cos 01,tan 0 = 1|V2and hence that 0 = tan¬'.V2

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11 A boy throws a ball with speed V m/s at an angle of 45° to the horizontal. a Derive expressions for the horizontal and vertical components of the displacement of the ball from the point of projection. b Hence show that the Cartesian equation of the path of the ball is y = x V2

11 A boy throws a ball with speed V m/s at an angle of 45° to the horizontal. a Derive expressions for the horizontal and vertical components of the displacement of the ball from the point of projection. b Hence show that the Cartesian equation of the path of the ball is y = x V2

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section: Chapter Questions

Problem 87A

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