Before striking a horizontal surface, a particle moves with velocity a as shown in the figure below. It travels at a speed of 20 mph at the angle of a= 51° with the horizontal. After it hits a barrier, it bounces off at an angle of B=73° with speed reduced by 15%. %3D a Before impact After impact (a) Resolve into components the velocity vector a of the particle before impact. Report each of the components accurate to 4 decimal places. -> a = Number Number (b) Resolve into components the velocity vector b of the particle after impact. Report each of the components accurate to 4 decimal places. -> Number Number
Before striking a horizontal surface, a particle moves with velocity a as shown in the figure below. It travels at a speed of 20 mph at the angle of a= 51° with the horizontal. After it hits a barrier, it bounces off at an angle of B=73° with speed reduced by 15%. %3D a Before impact After impact (a) Resolve into components the velocity vector a of the particle before impact. Report each of the components accurate to 4 decimal places. -> a = Number Number (b) Resolve into components the velocity vector b of the particle after impact. Report each of the components accurate to 4 decimal places. -> Number Number
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![Before striking a horizontal surface, a particle moves with velocity \(\vec{a}\) as shown in the figure below. It travels at a speed of 20 mph at the angle of \(\alpha = 51^\circ\) with the horizontal. After it hits a barrier, it bounces off at an angle of \(\beta = 73^\circ\) with speed reduced by 15%.
### Diagram Description
- The diagram shows a horizontal line representing a surface.
- There are two vectors labeled \(\vec{a}\) (before impact) and \(\vec{b}\) (after impact).
- Vector \(\vec{a}\) is shown at an angle \(\alpha\) with the horizontal, pointing downwards to the right.
- Vector \(\vec{b}\) is shown at an angle \(\beta\) with the horizontal, pointing upwards to the left.
### Problems
(a) Resolve into components the velocity vector \(\vec{a}\) of the particle before impact. Report each of the components accurate to 4 decimal places.
\[
\vec{a} = \text{Number} \, \vec{i} + \text{Number} \, \vec{j}
\]
(b) Resolve into components the velocity vector \(\vec{b}\) of the particle after impact. Report each of the components accurate to 4 decimal places.
\[
\vec{b} = \text{Number} \, \vec{i} + \text{Number} \, \vec{j}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F322ab9b5-8b73-42ca-a79a-5c7ee3611144%2F91f45d31-8255-49c5-a3f5-63fb50896f23%2Fzm2dqhr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Before striking a horizontal surface, a particle moves with velocity \(\vec{a}\) as shown in the figure below. It travels at a speed of 20 mph at the angle of \(\alpha = 51^\circ\) with the horizontal. After it hits a barrier, it bounces off at an angle of \(\beta = 73^\circ\) with speed reduced by 15%.
### Diagram Description
- The diagram shows a horizontal line representing a surface.
- There are two vectors labeled \(\vec{a}\) (before impact) and \(\vec{b}\) (after impact).
- Vector \(\vec{a}\) is shown at an angle \(\alpha\) with the horizontal, pointing downwards to the right.
- Vector \(\vec{b}\) is shown at an angle \(\beta\) with the horizontal, pointing upwards to the left.
### Problems
(a) Resolve into components the velocity vector \(\vec{a}\) of the particle before impact. Report each of the components accurate to 4 decimal places.
\[
\vec{a} = \text{Number} \, \vec{i} + \text{Number} \, \vec{j}
\]
(b) Resolve into components the velocity vector \(\vec{b}\) of the particle after impact. Report each of the components accurate to 4 decimal places.
\[
\vec{b} = \text{Number} \, \vec{i} + \text{Number} \, \vec{j}
\]
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