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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
11.89 Dynamics
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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