We appreciate your visit to A waterfall has a height of 900 feet A pebble is thrown upward from the top of the falls with an initial velocity of 20. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To find the time when a pebble hits the ground after being thrown from a waterfall (given that the height, initial velocity and gravity form a quadratic equation), we set h to 0 and solve the quadratic equations using the quadratic formula. The positive solution will be the time duration before the pebble hits the ground.
Explanation:
The subject of this question is quadratic physics, split into projectile motion and solving quadratic equations. In this case, the pebble is thrown from a height (h), initially upwards with a certain velocity, and it eventually falls downward due to gravity. The motion of the pebble can be mathematically modeled using a quadratic equation, reflecting the parabolic trajectory the pebble follows in its flight. In the described situation, the pebble will fall to the ground when h=0.
To solve this problem, we will set h to 0 in the given equation, creating the quadratic equation -16t²+20t+900 = 0. We then have to solve this equation to find the values for 't' when h=0. We can solve a quadratic equation in the form at²+bt+c =0 using the quadratic formula: t = [-b ± sqrt(b² - 4ac)] / (2a).
Filling in the parameters of the quadratic equation into the formula, we find: t = [-20 ± sqrt((20)² - 4*(-16)*900)] / (2*(-16)). Solving this equation gives two results, one of which will be a negative number representing the time before the pebble was thrown, which we discard leaving us with the time t = n seconds where n is the positive value we found. This will be the time duration before the pebble hits the ground.
Learn more about Solving Quadratics here:
https://brainly.com/question/31856123
#SPJ11
Thanks for taking the time to read A waterfall has a height of 900 feet A pebble is thrown upward from the top of the falls with an initial velocity of 20. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
