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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)= 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.)

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)= 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.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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) YA d(t) = 12- 10- 8 6 4 2+ 1 0 2 3 4 The graph plots the best quadratic fit, a(t) = -0.70t² + 1.44t + 10.44, to the data from the preceding table. 5 Acceleration (mph/sec) 11.2 (1, 11.2) 10.6 8.1 5.4 0 (2, 10.6) (3, 8.1) (4, 5.4) (5,0) 3.5 4 4.5 5 0.5 1 1.5 2 2.5 3 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. X How far did the driver travel (in ft) while the car accelerated? (Hint: You will need to convert time units.) X ft
Transcribed Image Text: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) YA d(t) = 12- 10- 8 6 4 2+ 1 0 2 3 4 The graph plots the best quadratic fit, a(t) = -0.70t² + 1.44t + 10.44, to the data from the preceding table. 5 Acceleration (mph/sec) 11.2 (1, 11.2) 10.6 8.1 5.4 0 (2, 10.6) (3, 8.1) (4, 5.4) (5,0) 3.5 4 4.5 5 0.5 1 1.5 2 2.5 3 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. X How far did the driver travel (in ft) while the car accelerated? (Hint: You will need to convert time units.) X ft
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