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Free-Falling Object In Exercises 37 and 38. use the position function
When will the object hit the ground? At what velocity will the object impact the ground?
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- Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?arrow_forwardA and B are points on the graphs of functions y1 and y2, respec-tively. Find the corresponding point on the graph of y = y1 + y2. A = (pi , - 0.5), B = (pi,-1)arrow_forwardV(d) Models Erica's vertical distance from the top the valley (in kilometers) after walking d kilometers along the trail. What does the statement v(2)=t meansarrow_forward
- Example:Find - dx2 as a function of t if x = t – t2,y = t – t³.arrow_forwardNASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = 4.9t2 +52t + 311. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? - The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level. Question Help: Video 1 Video 2 Message instructor Submit Question Jump to Answerarrow_forwardHow do you prove step by step that this equation: y=2x+1 is a function?arrow_forward
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