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11.89 A ball is thrown so that the motion is defined by the equations x = 5t and y = 2 + 6t - 4.912, where x and y are expressed in meters and t is expressed in seconds. Determine (a) the velocity at t = 1 s, (b) the horizontal distance the ball travels before hitting the ground.

11.89 A ball is thrown so that the motion is defined by the equations x = 5t and y = 2 + 6t - 4.912, where x and y are expressed in meters and t is expressed in seconds. Determine (a) the velocity at t = 1 s, (b) the horizontal distance the ball travels before hitting the ground.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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11.89 Dynamics
y x 04 ND-OF-SECTION PROBLEMS 11.89 A ball is thrown so that the motion is defined by the equations X = 5t and y = 2 + 6t - 4.9t, where x and y are expressed in meters and t is expressed in seconds. Determine (a) the velocity at t = 1 s, (b) the horizontal distance the ball travels before hitting the ground. - B A Fig. P6.CQ7 Fig. P11.89 -2r r = 11.90 The motion of a vibrating particle is defined by the position vector sin 15t)j, where r and t are expressed 10(1 e 3)i + (4e7 in millimeters and seconds, respectively. Determine the velocity and acceleration when (a) t = 0, (b) t = 0.5 s. 11.91 The motion of a vibrating particle is defined by the position vector r = (4 sin 7t)i t in seconds. (a) (cos 27t)j, where r is expressed in inches and Determine the velocity and acceleration when t = 1 s. (b) Show that the path of the particle is parabolic. 11.92 The motion of a particle is defined by the equations x = 10t - ondy are expressed in feet Fi Fic 1.0
Transcribed Image Text:y x 04 ND-OF-SECTION PROBLEMS 11.89 A ball is thrown so that the motion is defined by the equations X = 5t and y = 2 + 6t - 4.9t, where x and y are expressed in meters and t is expressed in seconds. Determine (a) the velocity at t = 1 s, (b) the horizontal distance the ball travels before hitting the ground. - B A Fig. P6.CQ7 Fig. P11.89 -2r r = 11.90 The motion of a vibrating particle is defined by the position vector sin 15t)j, where r and t are expressed 10(1 e 3)i + (4e7 in millimeters and seconds, respectively. Determine the velocity and acceleration when (a) t = 0, (b) t = 0.5 s. 11.91 The motion of a vibrating particle is defined by the position vector r = (4 sin 7t)i t in seconds. (a) (cos 27t)j, where r is expressed in inches and Determine the velocity and acceleration when t = 1 s. (b) Show that the path of the particle is parabolic. 11.92 The motion of a particle is defined by the equations x = 10t - ondy are expressed in feet Fi Fic 1.0
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