A particle moving in a straight line passes a fixed-point O with velocity 18 ms -1 .

Question:

A particle moving in a straight line passes a fixed-point O with velocity 18 ms^-1.

Its acceleration a ms^-2, t seconds after passing through O is given by a = 3t – 12.

a. Find the values of t when the particle is instantaneously at rest.

b. Find the distance the particle travels in the 4^th second

c. Find the total distance travelled in the first 10 seconds of its motion.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 03:08 AM

See More Questions

The average velocity of a particle moving in one dimension has a positive value. Is it possible for the instantaneous velocity to have been negative at any time in the interval? Suppose the particle...
In Exercises 1 and 2, find the values of b such that the function has the given maximum or minimum value. 1. f (x) = x2 + bx 75; Maximum value: 25 2. f (x) = x2 + bx 25; Minimum value: 50
A force acting on a particle moving in the xy plane is given by F = (2yi + x2j), where x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.00 m and...
Segment (Division) Evaluation In this assignment you will analyze the performance of PepsiCo's divisions. SFAS 131 requires publicly traded companies to disclose division information in the notes to...
The land area of Greenland is 840,000 mi2, with only 132,000 mi2 free of perpetual ice. The average thickness of this ice is 5000 ft. Estimate the mass of the ice (assume two significant figures)....
You have $100,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 18.5 percent. If Stock X has an expected return of 17.2...
The following table gives data on the mean number of seeds produced in a year by several common tree species and the mean weight (in milligrams) of the seeds produced. Two species appear twice...
Beechers Boston Barbeque Company purchased a customer list and an ongoing research project for a total of $300,000. Beecher uses the expected cash flow approach for estimating the fair value of these...
Let (X 1 , X 2 ) be random variables. Determine whether (X 1 , X 2 ) are independent in each of the following examples: f(x 1 , x 2 ) = 12x 1 x 2 (1 x 2 ) for x 1 [0, 1], x 2 [0, 1]; 0 elsewhere. f(x...
In that simple random-relocation model, each person is endowed with 50 goods when young and nothing when old. The money stock is constant and equal to $1,000,000. Each island has a constant...
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...
A particle starts from rest and moves in a straight-line so that, t seconds after leaving a fixed-point O, its displacement, s metres, is given by s = 2 2 cos 2t. a. Find an expression for the...
Refer to Problem C:14-42. How would your answer change if instead the trust were a complex trust that makes no distributions in 2015 and 2016? Assume the trust earns $8,000 of corporate bond interest...
What are factors which hamper the promotion of an entrepreneurial culture in South Africa?
Please Help P/R End Date 2/8/2019 Company Name: Prevosti Farms and Sugarhouse Check Date 2/13/2019 Tax Name M/S # of W/H Hourly Rate or Period # of Regular # of Overtime # of Holiday Wage Hours Hours...
Read the description of following adjustments that are required at the end of the accounting period for Hubbard Repair Services, a new firm. Determine the account and amount to be debited and the...
Jamie Lee and Ross, now 57 and still very active, have plenty of time on their hands now that the triplets are away at college. They both realized that time has just flown by; over twenty-four years...
Here are summary statistics for randomly selected weights of newborn girls: n = 36, x = 3180.6 g, s = 700.5 g. Use a confidence level of 99% to complete parts (a) through (d) below. a. Identify the...
Show the result of Exercise R-10.9, assuming collisions are handled by quadratic probing, up to the point where the method fails. Exercise R-10.9 Draw the 11-entry hash table that results from using...
Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in the United States had grown at a seasonally adjusted rate of 0.57 percent per month, with a standard...
Large Corporation acquired and placed in service the following 100% business-use assets. Large did not claim Sec. 179 or bonus depreciation expensing on any of these properties. Truck (light-duty,...
Turner Corporation uses the calendar year as its tax year. It purchases and places into service $1.97 million of property during 2017 to use in its business: What is Turners total depreciation...
In 2017, Tish acquires and places into service in her business 7-year MACRS property costing $40,000 and 5-year MACRS property costing $165,000. Tish elects Sec. 179 expensing for all of the...
Callaho Inc. began operations on January 1 , 2 0 1 8 . Its adjusted trial balance at December 3 1 , 2 0 1 9 and 2 0 2 0 is shown below. Other information regarding Callaho Inc. and its activities...
Required: 1. Complete the following: a. Colnpute the unit product cost under absorption costing. b. What is the company's absorption costing net operating income (loss) for the quarter? c. Reconcile...
Bond Valuation with Semiannual Payments Renfro Rentals has issued bonds that have an 8% coupon rate, payable semiannually. The bonds mature in 6 years, have a face value of $1,000, and a yield to...

A particle moving in a straight line passes a fixed-point O with velocity 18 ms -1 .

Question:

Step by Step Answer:

a The particle is instantaneously at rest when its velocity is zero Therefore we need to find the va...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions