A particle starts from a point O and moves in a straight line so that its displacement,
Question:
A particle starts from a point O and moves in a straight line so that its displacement, s cm, from O at time t seconds is given by s = 2t sin πt/3.
a. Find expression for velocity, v, and the acceleration, a, of the particle at time t seconds.
b. Show that 18(vt – s) = t2(9a + π2s).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (5 reviews)
a To find the velocity of the particle we need to take the derivative ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
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 so that its displacement from a fixed-point O, given by s = 2t + 2 cos 2t, where t is the time in seconds after the motion begins. a. Find the initial position of...
-
A particle starts from rest and moves in a straight line so that t seconds after passing through a fixed-point P, its velocity v ms-1, is given by v = 5(1 e -t ). a. Find the velocity of the...
-
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...
-
Caine Bottling Corporation is considering the purchase of a new bottling machine. The machine would cost $200,000 and has an estimated useful life of 8 years with zero salvage value . Management...
-
Say you are presented with two beakers, beaker A and beaker B, each containing a white, powdery compound. a. From your initial observations, you suspect that the two beakers contain the same...
-
The BiCMOS circuit shown in Figure P11.82 is equivalent to a pnp bipolar transistor with an infinite input impedance. The bias current is \(I_{Q}=0.5 \mathrm{~mA}\). The MOS transistor parameters are...
-
Which of the following events will not appear in the cash flows from financing activities section of the statement of cash flow? a. Borrowing cash from a bank b. Issuance of stock in exchange for...
-
Orlandos Arnold Palmer Hospital, founded in 1989, specializes in treatment of women and children and is renowned for its high-quality rankings (top 10% of 2000 benchmarked hospitals), its labor and...
-
Discuss the government's role in building and maintaining the nation's infrastructure. Do you think its time for individual states to invest in infrastructure? Define your answer.
-
The Dorwyn Company has two new products (special kinds of doors and windows) that will compete with the two new products for the Wyndor Glass Co. (described in Section 2.1). Using units of hundreds...
-
Explain what a database is.
-
A particle moves in a straight line so that the displacement, s metres, from a fixed-point O, is given by s = 2t 3 17t 2 + 40t - 2, where t is the time is seconds after passing a point X on the...
-
Predict the products from the following reactions. (a) (b) (c) (d) (1) 2 exces) NaoH, Ho (2) H,o KOH 2 HOEIOH KOH H2O/EtOH (1) LDA (1.1 equiv) (3) H2o
-
Metro will continue to follow FLSA stipulates and pay time and a half the normal rate when they work over 40 hours. (Carrell & Heavrin, 2013, p. 254). Members will only be paid once for the same...
-
Draw rough diagrams of two angles such that they have: (a) One point in common. (c) Three points in common. (e) One ray in common. (b) Two points in common. (d) Four points in common
-
Balance Sheet June 30th, Year 5 Assets Liabilities and Equity Cash Accounts receivables 34,000 10,000 Accounts Payable 19,000 Wages Payable 4,000 Inventory 60,000 Income Tax Payable 1,000 Prepaid...
-
You just bought a AAA rated bond of Smart Corp. for $1084.60. This bond pays 7% coupon annually. The bond was issued 14 years ago with an original maturity of 30 years. Calculate the YTM on this bond.
-
Not Even Inflation Can Kill the Job Boom As inflation pounds the economy, some experts predict a rise in unemploymentbut that's not necessarily bad news for everyone. Even workers who have been laid...
-
On February 7, 2017, Flathead Corp. had a balance of $315,000 in its Common Shares account and the total number of shares issued was 25,000. On February 8, 2017, Flathead paid $10,000 to reacquire...
-
Why is inventory management important for merchandising and manufacturing firms and what are the main tradeoffs for firms in managing their inventory?
-
Several years ago, Brian formed Sigma Corporation, a retail company ineligible for the U.S. production activities deduction. Sigma uses the accrual method of accounting. In 2017, the corporation...
-
John died on March 3, 2017. His gross estate of $8.25 million includes First Corporation stock (400 of the 1,000 outstanding shares) worth $5 million or $12,500 per share ($5,000,000/400). This FMV...
-
Moss Corporation has a single class of common stock outstanding. Tillie owns 1,000 shares, which she purchased five years ago for $100,000. Moss declares a stock dividend payable in 8% preferred...
-
A credit card account had a $227 balance on March 5. A purchase of $114 was made on March 12, and a payment of $200 was made on March 28. Find the average daily balance if the billing date is April...
-
Scenario: Edward and Daniel Kelly, together with their friends Joseph Byrne and Steven Hart, have established the Avenal Estates SARL group of property companies. Each of the founders has a 15 per...
-
Question 120 points Baltimore Bridge Restoration Corp. (BBR) has current earnings of $6 per share, and it just paid its annual dividend. The company is developing a new piece of equipment that would...
Study smarter with the SolutionInn App