Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
What is vertical motion model?
Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,
[tex]h(t)=-16t^2+v+t[/tex]
Here, t is time and v is velocity.
Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second. Thus, the vertical motion model for this situation is,
[tex]h(t)=-16t^2+20t+7[/tex]
When the ball hit the ground, the value of height (h) become zero. Thus,
[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]
On solving this quadratic, the value of x we get,
[tex]x=1.535,x=-0.285[/tex]
Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
Learn more about the vertical motion model here:
https://brainly.com/question/24216590
#SPJ1
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
