Concept explainers
Distance When data are given in tabular form, you may need to vary the size of the interval to calculate the area under the curve. The next two exercises include data from Car and Driver magazine. To estimate the total distance travelled by the car (in feet) during the time it took to reach its maximum velocity, estimate the area under the velocity versus time graph, as in the previous two exercises. Use the left endpoint for each time travel ( the velocity at the beginning of that interval ) and then the right endpoint (the velocity at the end of the interval ). Finally, average the two answers together. Calculating and adding up the areas of the rectangles is most easily done on a spreadsheet or graphing calculator. As in the previous two exercises, you will need to multiply by a conversion factor of
Estimate the distance traveled by the Chevrolet Malibu Maxx SS, using the table below.
Acceleration | Seconds |
Zero to
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Calculus For The Life Sciences
- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardA basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate to three decimal places).arrow_forwardAt the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later, the odometer read 22,125, Assume the scale on the odometer is in miles. What is the average speed the car traveled during this trip?arrow_forward
- Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.arrow_forwardFind the area of the shaded portion of this figure. Round your answer to 2 decimal places.arrow_forwardUse the function you found in the previous exercise to find the total area burned after 5 minutes.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,