Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. example 6 a particle moves along a line so that it

EXAMPLE 6 A particle moves along a line so that its velocity at time t...

90.2K

Verified Solution

Question

Calculus

image

EXAMPLE 6 A particle moves along a line so that its velocity at time t is v t t t 6 measured in meters per second a Find the displacement of the particle during 1 t 6 b Find the distance traveled during this time period SOLUTION a By this equation the displacement is s 6 s 1 L v foce Live v t dt t t 6 dt v t dt coco This means that the particle moved approximately 24 17 meters to the right b Note that v t t t 6 t 3 t 2 and so v t s 0 on the interval 1 3 and v t 0 on 3 6 Thus from this equation the distance traveled is 1 1 2 620 v t dt Lovce v t dt 2 x 6 a 2 t dt t t 6 dt

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

1. In general, Bacteria predominate in __________ waters, while numbers of Archaea are about equal or...

Medical Sciences
1.2K views

Whats the difference in the causes and compensation for respiratory and metabolic acidosis? Which system causes...

Basic Math
1.2K views

Determine the area in square units of the trapezoid shown in the figure Consider lengths...

Basic Math
1.2K views

The area of a square depends on the length of its sides. This can be...

Statistics
1.2K views

Suppose that there are ten students in a classroom a What is the probability that...

Calculus
1.2K views

Evaluate the function at the specified points f x y y xy5 5 4 3...

Calculus
1.2K views

Use the angle conversion capabilities of a graphing utility to convert the angle measure to...

Accounting
1.2K views

Sebastian purchases two pieces of equipment for $199,000. Appraisals of the equipment indicate that the...

Accounting
1.2K views

You have $50000 that you placed in two investments, one that paid 4% and one...

Accounting
1.2K views

Times interest earned Loomis, Inc. reported the following on the companys income statement in two...

Accounting
1.2K views

At 31 December 208, Northern Resources Ltd. reports the following on its statement of financial...

Accounting
1.2K views

Comparing three depreciation methods Waylander Coatings Company purchased waterproofing equipment on January 6 for $340,000....