A new soccer ball inexplicably appeared in my yard this weekend, and Abigail insisted on going to a park to test it out. She kicks it with an initial speed vị = 15 m/s, at an initial angle of 53.1°. Separate the ball's acceleration (after being kicked) and initial velocity into a.) their horizontal and vertical vector components, ideally expressed in unit-vector notation. b.) How long will it take the ball to reach its highest point? t = How high above the ground it was kicked from is this highest point? Ay =. с.) The park isn't level, and the ball landed 2 meters below the height it was kicked from. How far away, horizontally from where it was kicked, will the ball land?
A new soccer ball inexplicably appeared in my yard this weekend, and Abigail insisted on going to a park to test it out. She kicks it with an initial speed vị = 15 m/s, at an initial angle of 53.1°. Separate the ball's acceleration (after being kicked) and initial velocity into a.) their horizontal and vertical vector components, ideally expressed in unit-vector notation. b.) How long will it take the ball to reach its highest point? t = How high above the ground it was kicked from is this highest point? Ay =. с.) The park isn't level, and the ball landed 2 meters below the height it was kicked from. How far away, horizontally from where it was kicked, will the ball land?
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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Please help me with this problem using algebra based physics.
![A new soccer ball inexplicably appeared in my yard this weekend, and Abigail insisted on going to a park to test it out. She kicks it with an initial speed \( v_i = 15 \, \text{m/s} \), at an initial angle of 53.1°.
a.) Separate the ball’s **acceleration** (after being kicked) and **initial velocity** into their horizontal and vertical vector components, ideally expressed in unit-vector notation.
b.) How long will it take the ball to reach its highest point?
\[ t = \, \_\_\_\_\_\_\_\_ \]
How high above the ground it was kicked from is this highest point?
\[ \Delta y = \, \_\_\_\_\_\_\_\_ \]
c.) The park isn’t level, and the ball landed 2 **meters** below the height it was kicked from.
How far away, horizontally from where it was kicked, will the ball land?
\[ \Delta x = \, \_\_\_\_\_\_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1035f9e-9761-429f-91d8-dd3cf9141919%2Faec36c0f-a95a-4af0-b721-04ed7a6e7ff8%2Fkxw7y6q_processed.png&w=3840&q=75)
Transcribed Image Text:A new soccer ball inexplicably appeared in my yard this weekend, and Abigail insisted on going to a park to test it out. She kicks it with an initial speed \( v_i = 15 \, \text{m/s} \), at an initial angle of 53.1°.
a.) Separate the ball’s **acceleration** (after being kicked) and **initial velocity** into their horizontal and vertical vector components, ideally expressed in unit-vector notation.
b.) How long will it take the ball to reach its highest point?
\[ t = \, \_\_\_\_\_\_\_\_ \]
How high above the ground it was kicked from is this highest point?
\[ \Delta y = \, \_\_\_\_\_\_\_\_ \]
c.) The park isn’t level, and the ball landed 2 **meters** below the height it was kicked from.
How far away, horizontally from where it was kicked, will the ball land?
\[ \Delta x = \, \_\_\_\_\_\_\_\_ \]
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