Solve applications involving vectors. A basketball is shot at a 54° angle with the horizontal direction with an initial speed of 7 meters per second. (a) Find the component form of the initial velocity. (b) Give an interpretation of the horizontal and vertical components of the velocity.
Solve applications involving vectors. A basketball is shot at a 54° angle with the horizontal direction with an initial speed of 7 meters per second. (a) Find the component form of the initial velocity. (b) Give an interpretation of the horizontal and vertical components of the velocity.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Solve applications involving vectors.
A basketball is shot at a 54° angle with the horizontal direction
with an initial speed of 7 meters per second.
(a) Find the component form of the initial velocity.
(b) Give an interpretation of the horizontal and vertical
components of the velocity.
Transcribed Image Text:r
Give an interpretation of the components of the velocity. Choose the correct
answer below.
The horizontal component is the (varying) horizontal speed of the basketball, affected by
both the initial speed and gravity. The vertical component is the (constant) vertical speed of
the basketball.
The horizontal component is the (constant) horizontal speed of the basketball as it travels
toward the basket. The vertical component is the (varying) vertical speed of the basketball,
affected by both the initial speed and the downward pull of gravity.
The horizontal component is the distance the basketball travels in the horizontal direction.
The vertical component is the maximum height of the basketball.
The horizontal component is the distance the basketball travels in the horizontal direction.
The vertical component is the distance the basketball travels in the vertical direction.
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