6. As speed limits on highways have been steadily increasing over time, maybe the "O to 60" metric needs to be revised. Maybe a metric we should be curious about is "O to 75". Since converting 60 miles per hour is 88 feet per second, then 75 miles per hour would be 110 feet per second. Because of the increase in the destination speed, cars will need a longer period of time to achieve that speed compared to hitting 60 mph. Suppose Dr. Lawrence's Impala can go from 0 to 75 mph in 9 seconds. Assume that the speed of the car increases linearly (ie. constant positive acceleration). Write the velocity function v(t) [in ft/sec] for Dr. Lawrence's Impala. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes. B. d. G Find the area of the shaded region constructed in part c by using a common geometric area formula. e. Find the area of the shaded region constructed in part c by evaluating the definite integral from part b.

6. As speed limits on highways have been steadily increasing over time, maybe the "O to 60" metric needs to be revised. Maybe a metric we should be curious about is "O to 75". Since converting 60 miles per hour is 88 feet per second, then 75 miles per hour would be 110 feet per second. Because of the increase in the destination speed, cars will need a longer period of time to achieve that speed compared to hitting 60 mph. Suppose Dr. Lawrence's Impala can go from 0 to 75 mph in 9 seconds. Assume that the speed of the car increases linearly (ie. constant positive acceleration). Write the velocity function v(t) [in ft/sec] for Dr. Lawrence's Impala. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes. B. d. G Find the area of the shaded region constructed in part c by using a common geometric area formula. e. Find the area of the shaded region constructed in part c by evaluating the definite integral from part b.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 57P

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