A particle moving in a straight line passes a fixed-point O with velocity 10 ms -1 .

Question:

A particle moving in a straight line passes a fixed-point O with velocity 10 ms^-1. Its acceleration a ms^-2, t seconds after passing through O is given by a = 3 – 2t.

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

b. Sketch the velocity-time graph for the motion of the particle.

c. Find the total distance travelled in the first 7 seconds of its motion. Give your answer correct to 3 sf.

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...
6. Andres deposited $10,000 in a savings account. After 8.25 yr, the value of his account had doubled. a) Find the function in base 2 that models the value, A(t), of Andres's account after t years....
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...
Identify 3 ethical and 3 legal issues regarding Genomics ? with examples? Genomic services provided for gaining a better understanding of the interactions between genes and the environment but there...
A steel sphere has a radius of 1.58 in. If this steel has a density of 7.88 g/cm3, what is the mass of the sphere in grams?
Smith Corp. has determined that its contribution margin , (P MC)/P, is 40%. A recent market research study found the following relationship between adverting outlays and sales revenue. Advertising...
A friend of yours just told you an interesting story. While at their parents house over the weekend, your friends parents saw the textbook for an entrepreneurship class that your friend is completing...
The Mowry Machine Shop still has five jobs to be processed as of 8 A.M. today (day 23) at its bottleneck operation. The day when the order arrived, processing time, and promised due dates are given...
1. Identify the product which represents the solid state in the above reaction. a) Barium chloride b) Barium sulphate c) Sodium chloride d) Sodium sulphate 2. The colour of the solution observed...
On January 1, 2021, the general ledger of TNT Fireworks included the following account balances: During January 2021, the following transactions occurred: Jan. 1 Purchased equipment for $19,500. The...
A particle is moving in a straight line such that its velocity, v ms -1 , t seconds after passing a fixed-point O is v = e 2t 6e -2t 1. i. Find an expression for the displacement, sm, from O of the...
A particle, moving in a straight-line, passes through a fixed-point O. Its velocity v ms -1 , t seconds after passing through O, is given by v = cos 3t + sin 3t. a. Find the value of t when the...
In the following table, total cost is listed. Calculate marginal cost. Quantity Total Cost Marginal Cost 10 20 3 40 4 80 130 200 1,
The EBIT for Carls's company is $1,000 and the EBIT for marth's company is $1,000. Carls's company is fully financed with equity and marth's company uses debt to finance 40% of its assets. The tax...
Develop a MATLAB code to solve the FTCS 2D heat diffusion equation -AV f in a domain (x,y)= (0,1)x(0,1) with initial condition: f(x,y,0)= x(1-x)y(1-y)= f(x,y) and boundary conditions: f(x,0,t)=...
The Agarwal family lives in Massachusetts. They moor their sailboat in Rhode Island. Complete the statement below. Which might be a plausible reason for this? The Agarwals are trying to avoid
Consider the following two-player game. There are stones placed on a table. Players alternate turns. On a player's turn, they must remove k stones for some 0
Review the following sales information: January sales are $ 60,000 February sales are $ 70,000 80% of sales are made on a cash basis 20% of sales are collected after 30 days How much cash will the...
List the following groups of monomers in order of decreasing ability to undergo cationic polymerization: a. b. c. CH CH CH CH CH-CH NO CH3 OCH3 CH,--CHCOCH, CH=CH CH2-CCH3
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...
Lutz Corporation acquired a 100% business-use automobile (MACRS 5-year recovery) on July 1, 2017 for $32,000. The company did not elect Sec. 179 expensing and elects out of bonus depreciation. What...
Luby Corporation acquires a 100% business-use automobile (MACRS 5-year recovery) on July 1, 2017 for $36,000. Luby does not elect Sec. 179 and elects out of bonus depreciation. What are depreciation...
Tracy acquires an automobile (MACRS 5-year recovery) on March 1, 2017. He uses the automobile 70% of the time in his business and 30% of the time for personal use. The automobile cost $36,000. No...
4) The following data were obtained from a settling test in a 3 m cylinder. The initial solids concentration was 3600 mg/L. Determine the thickener are required to reach an underflow concentration Cu...
Alexander and Susan Lawson are married and have no children. Susan's mother, Ana Alvarez, had been living in their care for over three years since she was no longer able to care for herself on her...
ABC Corporation uses a process costing system. The company had $165,500 of beginning Finished Goods Inventory on October 1. It transferred in $842,000 of units completed during the period. The ending...

A particle moving in a straight line passes a fixed-point O with velocity 10 ms -1 .

Question:

Step by Step Answer:

a The particle is instantaneously at rest when its velocity is zero We can use the equation for velo...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions