A particle moves along a horizontal line so that its coordinate at time t is x =
Question:
A particle moves along a horizontal line so that its coordinate at time t is x = √b2 + c2t2 , t > 0, where b and c are positive constants.
(a) Find the velocity and acceleration functions.
(b) Show that the particle always moves in the positive direction.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
a b vt 0 for t 0 so the particl...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A particle moves along a straight line with equation of motion s = f(t), where is measured in meters and in seconds. Find the velocity when t = 2. 25. f() - 1 - 61 5 26. f(1) - 21 - I+1
-
A particle moves along a straight line with displacement s(t), velocity v(t), and acceleration a(t). Show that Explain the difference between the meanings of the derivatives dv/dt and dv/ds. dv a(t)...
-
A particle moves along a line with velocity function v(t) = t2 - t, where is measured in meters per second. Find (a) The displacement and (b) The distance traveled by the particle during the time...
-
The number x of bicycle helmets people are willing to buy per week from a retail chain at a price of $p is given by x = 1,000 - 60p + 25 20 ¤ p ¤ 100 (see the figure). (A) Find dx/dp....
-
Corbett Company develops software. The market is very competitive, and Corbett's competitors continue to introduce new products at low prices. Corbett offers a wide variety of software-from simple...
-
Price Company from time to time embarks on a research program when a special project seems to offer possibilities. In 2024, the company expends $325,000 on a research project, but by the end of 2024...
-
The theory of macroeconomic stabilization policy in this chapter provides a playbook for monetary policy. When the economy is weak, the Federal Reserve eases monetary policy by increasing the money...
-
Find the interest rates, or rates of return, on each of the following: a. You borrow $700 and promise to pay back $749 at the end of 1 year. b. You lend $700 and receive a promise to be paid $749 at...
-
1. Widget Plus stores its widgets at three warehouses, located in Richmond, VA, Atlanta, GA, and Baltimore, MD. The widgets are shipped to four different customers. The available supply at the...
-
On November 1, 2012, Chris purchased all the issued shares of Transtek Inc. from an acquaintance, Tom. Transtek carries on a transmission repair business and has done so since its incorporation on...
-
Air is being pumped into a spherical weather balloon. At any time t, the volume of the balloon is V(t) and its radius is r(t). (a) What do the derivatives dV/dr and dV/dt represent? (b) Express dV/dt...
-
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. sin x 3D ? , (1,2)
-
In Problems 5964, construct a truth table to verify each equivalence. q ^ (pv q) = q V (p ^ q)
-
Aamir's company has the production function Q=8K^0.75L^0.25, where Q measures output, K measures machine hours, and L measures labor hours. Suppose that the rental rate of capital is R=$120, the wage...
-
A block of mass m = 8,8 kg slides on a rough surface and moves toward a spring with a spring constant k = 2135 N/m, as shown in the figure below. When the block is d = 11m away from the spring, it...
-
Y is a random variable that is distributed N(10,324). Find Prob(Y < 13.42 OR Y > 34.3).
-
Explain the use, reasoning and importance of MR = MC. How does this equation affect consumer welfare(benefit)?
-
Expand x+2y+1 in powers of (x-1) and (y-2) upto second degree terms by applying the Taylor's theorem. Q.2 Find the Taylor series expansion of es at (1,1) in powers of x and y upto second degree. Q.3...
-
DeseanEdwards plans on opening a new business named Desean Edwards Online Marketing Strategies. He is considering the various types of business organizations and wishes to organize his business with...
-
Record the following selected transactions for March in a two-column journal, identifying each entry by letter: (a) Received $10,000 from Shirley Knowles, owner. (b) Purchased equipment for $35,000,...
-
Evaluate the integral. x' + 4x + 3 x* + 5x? + 4 .4
-
Evaluate the integral. 3 + 6 2 dx .4 x* + 6x?
-
Evaluate the integral. x + 4 dx x? + 2x + 5
-
Sophia operates a large singing school with 22 employees. She receives advance fee payments from students in respect of each course (a course consists of 26 lessons). If a student does not attend all...
-
What role does agency play in the Hypodermic Model of Communication? Long after the model has been abandoned by experts in persuasion and mass media, why does this model live on as common sense?
-
Daniel is a resident individual who carries on a retail business but does not use the SBE method of accounting for income in his business. On 30 June of the current tax year he had trade debtors of...
Study smarter with the SolutionInn App