Projectile Motion The position of a projectile fired with an initial velocity vo feet per second and at an angle 0 to the horizontal at the end of t seconds is given by the parametric equations x = (vo cos 0)t y = (vo sin 0)t – 16r2 See the illustration. R- (a) Obtain the rectangular equation of the trajectory and identify the curve. (b) Show that the projectile hits the ground (y = 0) when Vo sin 0. 16 (c) How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R. (d) Find the time t when x = y. Then find the horizontal distance x and the vertical distance y traveled by the projectile in this time. Then compute Vx + y. This is the distance R, the range, that the projectile travels up a plane inclined at 45° to the horizontal (x = y). See the following illustration. (See also Problem 97 in Section 7.6.) 45°

Projectile Motion The position of a projectile fired with an initial velocity vo feet per second and at an angle 0 to the horizontal at the end of t seconds is given by the parametric equations x = (vo cos 0)t y = (vo sin 0)t – 16r2 See the illustration. R- (a) Obtain the rectangular equation of the trajectory and identify the curve. (b) Show that the projectile hits the ground (y = 0) when Vo sin 0. 16 (c) How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R. (d) Find the time t when x = y. Then find the horizontal distance x and the vertical distance y traveled by the projectile in this time. Then compute Vx + y. This is the distance R, the range, that the projectile travels up a plane inclined at 45° to the horizontal (x = y). See the following illustration. (See also Problem 97 in Section 7.6.) 45°

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.1: Projectile Motion

Problem 9SSC

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