lilboi999
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our 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

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.