Consider the motion of a baseball. It has an initial position (Xo Yo) = (0,3.5) feet when it is hit at an angle of 60° with an initial speed of 78 ft/s. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors, for t≥0. b. Determine the time of flight and range of the object. c. Determine the maximum height of the object.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
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Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...
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Consider the motion of a baseball. It has an initial position
(Xo Yo) = (0,3.5) feet when it is hit at an angle of 60° with an initial
speed of 78 ft/s. Assume the x-axis is horizontal, the positive y-axis
is vertical, the ground is horizontal, and only the gravitational force acts
on the object.
a. Find the velocity and position vectors, for t≥ 0.
b. Determine the time of flight and range of the object.
c. Determine the maximum height of the object.
a. The velocity vector is v(t) =, for t≥ 0.
The position vector is r(t) = ([ for t≥ 0.
b. The projectile remains in the air for
(Round to two decimal places as needed.)
seconds.
The projectile travels feet.
(Round to two decimal places as needed.)
c. The maximum height of the object is feet.
(Round to two decimal places as needed.)
Transcribed Image Text:Consider the motion of a baseball. It has an initial position (Xo Yo) = (0,3.5) feet when it is hit at an angle of 60° with an initial speed of 78 ft/s. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors, for t≥ 0. b. Determine the time of flight and range of the object. c. Determine the maximum height of the object. a. The velocity vector is v(t) =, for t≥ 0. The position vector is r(t) = ([ for t≥ 0. b. The projectile remains in the air for (Round to two decimal places as needed.) seconds. The projectile travels feet. (Round to two decimal places as needed.) c. The maximum height of the object is feet. (Round to two decimal places as needed.)
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