As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is variable. Use the following table, which contains the acceleration measured at every second as a driver merges onto a freeway. (Round your answers to two decimal places.) Time (sec) 12+ 10+ 8+ 6 4+ 2+ 1 0 2 3 4 5 Acceleration (mph/sec) 11.2 The graph plots the best quadratic fit, a(t) = -0.70² +1.44t+10.44, to the data from the preceding table. 10.6 (1, 11.2) 8.1 5.4 0 (2, 10.6) (3,8.1) (4, 5.4) + 0.5 1 1.5 2 2.5 3 3.5 4 (5.0) 4.5 5 x Compute the average value (in mph/s) of a(t) to estimate the average acceleration between t= 0 and t = 5. 8.215 ✔ mph/s Using the acceleration equation, find the corresponding velocity equation, assuming the final velocity is 70 mph. v(t) = X Find the velocity (in mph) at time t = 0. X mph Using the velocity equation, find the corresponding distance equation, assuming the initial distance is 0 mi. d(t) = x How far did the driver travel (in ft) while the car accelerated? (Hint: You will need to convert time units.) x X ft

Q: The equation y=0.447x² +22.616x+163.837, with x equal to the number of years from 1987 to 1998,…

A:

Q: Some pedometers have a default setting that assumes that the number of steps a person must take to…

A: We have to find a linear model of the number of steps S per mile as a function of height h.

Q: Ay 12 10 8. 4+ 2 -2 1 234 5 789 10/11 12 -8 -10 -12 20 in. 15 in. 12 in

A: to find:- diameter of the tire.

Q: The relationship between the height H of an adult female and the length x of her tibia, in…

A: Given that the relationship between the height H of an adult female and the length x of her tibia,…

Q: A cellular phone company offers several different service options. One option, for people who plan…

A: Solution:-

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: A farmer finds there is linear relationship between the numbers of bean stalks , n, she plants and…

A: Given:        We have given two points (30,30) and (34,28).Now the value of m…

Q: Let the graph below represent an object's velocity as moves away from a sensor. At what time, in…

A: This integration can also be found from area under the curve .

Q: The chart to the right shows a country's annual egg production. Model the data in the chart with a…

A: