A particle moves along a straight path. The graph below shows the particle's distance traveled in meters, d, in terms of the number of seconds t since the particle started moving. d 28 24 20 16 12 4 4 6 a. What is the particle's average speed as t increases from t = 0 to t = 2? meters per seconds Preview b. What is the particle's average speed as t increases from t = 2 to t = 4? meters per seconds Preview c. What is the particle's average speed as t increases from t = 4 to t = 6? meters per seconds Preview d. The average speed of the particle is Select an answer ).The formula d = t + 3t expresses a car's distance (in feet) from a stop sign, d, in terms of the number of seconds t since it started moving. Determine the car's average speed over each of the following intervals of time. a. From t = 3 to t = 5 seconds... feet per second Preview b. From t = 5 to t = 5.5 seconds... feet per second Preview c. From t = 5.5 to t = 6 seconds... feet per second PreviewThe formula d = 1.3132 + t + 1 expresses a car's distance (in feet to the north of an intersection, d, in terms of the number of seconds :5 since the car started to move. at As the time t since the car started to move increases from t = 3 to t = 6 seconds, what constant speed must a truck travel to cover the same distance as the car over this 3second interval? :] feet per second Preview b' As the time 25 since the ear started to move increases from t = 8 to t = 8.1 seconds, what constant speed must a truck travel to cover the same distance as the car over this 0.1second interval? :] feet per second Preview A truck is speeding up as it travels on an interstate. The truck's momentum (in kg ~ m/s) is proportional to the truck's Speed (in m/s). a. At some moment the truck's momentum is 50600 kg ~ m/s and the truck's speed is 23 m/s At this moment, the truck's momentum (in kg ' m/s) is how many times as large as the truck's speed (in m/s)? b. This means that as the track travels, the truck's momentum (in kg - m/s) is always :] times as large as the truck's speed (in m/s). or If the truck is traveling at 14 m/s, what is the truck's momentum? :] kg 4 m/s Preview Submit Consider a circle whose size can vary. The circumference of the circle is always 211' times as large as its radius. Let T represent the radius of the circle (in feet) and let 0 represent the circumference of the circle (in feet). a. Write a formula that expresses C in terms of 'r, :] Preview b. Use your formula from part (a) to determine the circumference of a circle whose radius is 5 feet. :] Peer Preview c. Write a formula that expresses r in terms of C. :] Preview d. Use your formula from part (c) to determine the radius ofa circle whose circumference is 31.4159 feet. :] Preview Eeek! $questions is not defined or needs to be an arrayEeek! $questions is not defined or needs to be an arrayEeek! $questions is not defined or needs to be an array A 12.5-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours that have elapsed since the candle was lit. a. Write an expression in terms of t that represents the number of inches that have burned from the candle since it was lit. Preview b. Write an expression in terms of t that represents the remaining length of the candle (in inches). PreviewA car is driving away from a crosswalk. The formula d = t2 + 3t expresses the car's distance from the crosswalk in feet, d, in terms of the number of seconds, t, since the car started moving. a. Suppose t varies from t = 2 to t = 5. i. Does the car travel at a constant speed over this interval of time? 7 3 ii. What is the car's average speed over this interval of time? [: feet per second Preview b. Suppose t varies from t = 1.3 tot = 2.2. i. Does the car travel at a constant speed over this interval of time? ? 3 ii. What is the car's average speed over this interval of time? :] feet per second Preview Consider a square whose size varies. Let 3 represent the side length of the square (in cm) and let P represent the perimeter of the square (in cm). a. Write a formula that expresses P in terms of s. [: Preview b. Consider the equation 30 = 4.3. i. Solve this equation for s. :] Preview ii. What does this solution represent? Select all that apply. OThe side length (in cm) ofa square whose perimeter is 30 cm. OThe square's current side length (in cm). OThe perimeter (in cm) of a square whose side length is 7.5 cm. (3. Write a formula that expresses s in terms of P. [: Preview (1. Evaluate your formula from part (c) for P = 30. [: Preview Marcos is planning to travel from Phoenix to Flagstaff. Let t represent the number of hours since Marcos left Phoenix and let 0? represent the number of miles Marcos has traveled from Phoenix. After completing his trip Marcos recorded that he had traveled for 2 hours and 17 minutes on Interstate 17 (without stopping) for a distance of 155 miles. a. Marcos did not travel at a constant speed on this drive. Which graph could represent how Marcos' distance traveled (in miles) and the number of hours since he left Phoenix change together\When running a half marathon (13.1 miles), it took Omar 7 minutes to run from mile marker 1 to mile marker 2, and 19 minutes to run from mile marker 2 to mile marker 4. a. How long did it take Omar to run from mile marker 1 to mile marker 4? minutes Preview b. What was Omar's average speed as he ran from mile marker 1 to mile marker 4? miles per minute Preview c. 73 minutes after starting the race, Omar passed mile marker 9. To complete the race in 114 minutes, what must Omar's average speed be as he travels from mile marker 9 to the finish line? miles per minute PreviewJose is standing next to a mailbox when he begins walking north from the mailbox at a constant speed of 4 feet per second. a. How far is Jose north of the mailbox 8 seconds after he started walking? :l eeee b. Write a formula that expresses Jose's distance north of the mailbox (in feet), d, in terms of the number of seconds it since he started walking. :l Preview c. As Jose walks north from the mailbox, is his distance north of the mailbox proportional to the time elapsed since he started walking? ONO, J ose's distance north of the mailbox (in feet) is not always the same constant number of times as large as the number of seconds since he started walking. ONO, J ose's distance north of the mailbox (in feet) is always larger than the number of seconds elapsed since he started walking. OYes, Jose's distance north ofthe mailbox (in feet) is always the same number of times as large as the number of seconds since he started walking. OYes, Jose's distance north of the mailbox is related to the time elapsed since he started walking