lilboi999
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which parametric equations represent the path of the soccer ball?

A: x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t
B: x(t) = 37sin(70o)t and y(t) = –16t2 + 37cos(70o)t
C: x(t) = 37cos(70o)t and y(t) = –16t2 + sin(70o)t + 37
D: x(t) = 37sin(70o)t and y(t) = –16t2 + cos(70o)t + 37

Sagot :

whitvicc

Answer: It’s A

Step-by-step explanation: Got it right on the quiz edg2021

The parametric equations represent the path of the soccer ball is

[tex]x = 37cos(70)t[/tex]  and [tex]y = 37sin(70)t - 16t^{2}[/tex]

What is projectile motion?

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.

projection motion formula :

Position at time t

x = ([tex]v_{0}[/tex] cosθ)t  

y = ([tex]v_{0}[/tex] sinθ)t – 1/2 g[tex]t^{2}[/tex]  

According to the question

A soccer ball on the ground is kicked

initial velocity ([tex]v_{0}[/tex])= 37 feet per second

elevation angle = 70°

using projection motion formula :

Position at time t

g = 9.8 m/[tex]sec^{2}[/tex] = 32 ft/[tex]sec^{2}[/tex]

x = ([tex]v_{0}[/tex] cosθ)t  

[tex]y = v_{0} sin[/tex]θ[tex]t[/tex][tex]-\frac{1}{2} gt^{2}[/tex]

substituting the value [tex]v_{0}= 37[/tex] and θ = 70 degrees in the above formula

[tex]x = 37cos(70)t[/tex] 

[tex]y= 37sin(70)t -\frac{1}{2} ( 32)t^{2}[/tex]

[tex]y = 37sin(70)t - 16t^{2}[/tex]

Hence,  the parametric equations represent the path of the soccer ball is

[tex]x = 37cos(70)t[/tex]  and

[tex]y = 37sin(70)t - 16t^{2}[/tex]

To know more about projectile motion here:

https://brainly.com/question/11049671

#SPJ3

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.