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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

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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.)

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