A particle moves in a straight-line such that its displacement, s metres, from a fixed-point O on
Question:
A particle moves in a straight-line such that its displacement, s metres, from a fixed-point O on the line at time t seconds is given by s = 50[e-2t – e-4t].
a. Find the time when the particle is instantaneously at rest.
b. Find the displacement of the particle from O when t = 2.
c. Find the total distance travelled during the first 2 seconds of its motion.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (12 reviews)
a The time when the particle is instantaneously at rest is 2 The displacement from O at that ti...View the full answer
Answered By
Sonali Porwal
My career goal as a professional tutor with seven years of experience is to provide high-quality work. I care about providing the best customer service possible and don't believe in critiquing if my clients love my job. In addition, My tutor experience has taught me skills in handling other disciplines such as editing, proofreading, formatting, and research. I have also learned that my client's satisfaction is my success. What makes me a unique tutor is that I love providing high-quality and professional service for every client I serve. Also, I can deliver exceptional services and write in a variety of subjects, making it easy to find a style that best suits you
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
A particle moves in a straight line such that its displacement, x m, from a fixed-point O at time ts, is given by x = 3 + sin 2t, where t 0. a. Find the velocity of the particle when t = 0. b. Find...
-
A particle moves in a straight line such that its displacement, s metres, from a fixed point O on the line at time t seconds is given by s = 9[ln(3t + 2)]. a. Find the value of t when the...
-
A particle moves in a straight line with a constant acceleration of ?2 m/s2 for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +2 m/s2 for the next 4 s. Knowing that the...
-
Elgin Company has recently introduced budgeting as an integral part of its corporate planning process. An inexperienced member of the accounting staff was given the assignment of constructing a...
-
A sample of an ethanol-water solution has a volume of 54.2 cm3 and a mass of 49.6 g. What is the percentage of ethanol (by mass) in the solution? (Assume that there is no change in volume when the...
-
At March 31, Ronca Company has the following information available about its cash account: Cash balance per bank ........ $7,500 Outstanding checks ......... $2,500 Deposits in transit ...........
-
Complete the following variance analysis worksheet for Serif Industries. Actual Results Flexible Budget Variance Flexible Volume Budget Master Variance Budget Units sold Revenues 50,000 60,000...
-
The following equity investment-related transactions were completed by Lance Company in 2010: Jan. 12. Purchased 1,800 shares of Baxter Company for a price of $56.50 per share plus a brokerage...
-
he point (1, 1 8. Find parametric equations for the tangent line to the curve of intersection of the cone z = V2 + y and the plane x+2y+22 20 at the point (4,3, 5). = 12 points
-
The following data relate to the operations of Shilow Company, a wholesale distributor of consumer goods: Current assets as of March 31: Cash $ 8,000 Accounts receivable 20,000 Inventory 36,000...
-
A particle starts from rest and moves in a straight line so that, that t seconds after leaving a fixed-point O, its velocity, v ms -1 , is given by v = 3 + 6 cos 2t. a. Find the range of values for...
-
A particle P is projected from the origin O so that it moves in a straight line. At time t seconds after projection, the velocity of the particle, v ms -1 , is given by v = 9t2 63t + 90. i. Show...
-
Sum an appropriate infinite series to find the rational number whose decimal expansion is given. 5.444
-
In recent years, 'frontier tourism' (i.e. exclusive and extreme form of adventure travel that are very expensive) has gained popularity. The crazy rich are increasingly trying high risk tourism,...
-
A major hurricane could close the highest grossing restaurant for six to 12 months. The last major hurricane occurred 20 years ago, but there have been two minor hurricanes (ten years ago and five...
-
Group dynamics inform organizational behavior, and this aspect affects employee performance in any organization. As a student of industrial Psychology, critically examine the relevance of...
-
Some practitioners and researchers consider organizational behavior modification unethical because it may be viewed as a form of manipulation. What is your reaction to this criticism?
-
A UFO experienced a constant acceleration of 12 m/s west during which its displacement was 28,968 m west and was going 834 m/s west at the end of said acceleration. Determine how long the UFO was...
-
You believe that a stock with the same market risk as the S&P ITSX will sell at year-end at a price of $50. The stock will pay a dividend at year-end of $2. What price will you be willing to pay for...
-
Refer to the data in QS 10-1. Based on financial considerations alone, should Helix accept this order at the special price? Explain.
-
Goodrich Corporation uses the calendar year as its tax year. It acquires and places into service two depreciable assets during 2017: Asset #1: 7-year property; $950,000 cost; placed into service on...
-
On March 1, 2017, Sarah entered into a three-year lease of an automobile used exclusively in her business. The automobiles FMV was $58,500 at the inception of the lease. Sarah made ten monthly lease...
-
Woburn Corporation uses the calendar year as its tax year. Woburn purchases and places into service $850,000 of depreciable property during 2017: _________________________ Cost Recovery...
-
Your client, Hyun Bin, has an offer to come to Canada to work as a financial auditor to work for Deloitte. The position will be full-time and will last at least one year. He has just graduated from...
-
help with this Requirement 1. Compute the breakeven point in units, assuming that the company achieves its planned sales mix.Begin by determining the sales mix. For every 1 deluxe unit(s)...
-
Withdrawals from an Oregon 529 College Savings Network Account, used to pay for qualified expenses, will not be taxed. Qualified expenses include: Question 49Select one: a. Expenses for tuition,...
Study smarter with the SolutionInn App