A cyclist is travelling along a straight road. The distance in metres of the cyclist from a

Question:

A cyclist is travelling along a straight road. The distance in metres of the cyclist from a fixed point after t seconds is modelled by the function f(t), where f′(t) = 5 + 2t and f(0) = 0.

a. Find an expression for f(t).

b. Calculate the time taken for the cyclist to travel 100 m.

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

Step by Step Answer:

Related Book For book-img-for-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 15, 2023 03:28 AM

See More Questions

A coal has 10% moisture, 39% volatile matter and 41% ash. Calculate % volatile matter and % fixed carbon on (dry, mineral-matter free) dmmf basis and determine the ASTM Group to which the coal...
Jennings Corporation manufactures two models of tires XL and DL Instructions Based on the following production and sales data for August 2006 prepare a a sales budget b a production budget XL DL...
Read the following and give your response: Bill and Tom are partners and live in Hawaii. Bill works for Hawaii Food Service, Inc., which provides food to the major airlines flying into Hawaii. Bill...
Ms. Calhoun is age 51 and single. What is the maximum contribution that she can make to a Roth IRA if: a. Her AGI consists of an $89,400 salary from her employer? b. Her AGI consists of an $89,400...
The ABC Corporation is designing its new assembly line. The line will produce 50 units per hour. The tasks, their times, and their immediate predecessors are shown in Table 10-19. (a) Which task is...
What are some major cultural and demographic trends?
2. Prepare a consolidated income statement for Pam Corporation and Subsidiary for 2016.
Graph the following LP problem and indicate the optimal solution point: Maximize profit = $3X + $2Y Subject to 2X + Y 150 2X + 3Y 300 (a) Does the optimal solution change if the profit per unit of...
d. This is an instance of traua at the assume value ul. 13. From the choices below, create the typical fraud perpetrator profile based on average U.S. statistics and the ACFE: a high school...
A company sells precision grinding machines to four customers in four different countries. It has just signed a contract to sell, two months from now, a batch of these machines to each customer. The...
A triangular lawn ABC is shown in figure 3: Given that AB = 7.5 m, BC = 10.6 m and AC = 12.7 m, a. Find angle BAC. Grass seed costs 1.25 per square metre. b. Find the cost of seeding the whole lawn....
Given that f(x) = 6/x 2 + 4x 3x + 2, x > 0, find f(x)dx.
Below are the input and results of an OLS linear regression. The president of a specialty fruit juice company believed that for every single degree change in average temperature during the summer...
Identify a weakness of your own that might affect your ability to lead change effectively.
What makes an ability (or set of abilities) a core competency? Pick a company you are familiar with (I've picked Apple Company) . Can you identify some of its core competencies What methods do you...
What are the key standards and frameworks commonly used by IS auditors during the IS audit process, and how do these standards contribute to the effectiveness and reliability of IS audit activities?...
What is the definition of a project risk? What is risk threat and Risk Opportunity? What are the responsibilities of the risk or opportunity owner? What alternatives are there to managing "excessive"...
6.1. Determine the transfer function H(s)/Q(s) for the liquid-level system shown in Fig. P61. Resistances R1 and R2 are linear. The flow rate from tank 3 is maintained constant at b by means of a...
Cooper Industries had a piece of equipment that cost $29,000 and had accumulated depreciation of $23,000. Requirement 1. Record the disposition of the equipment assuming the following independent...
Bobbie Singh provides writing services for small businesses. He blogs for companies that need professionally written content. His business records at November 15, 2023, are shown below: During the...
Fit the regression line using the method of least squares, and assess whether there is a significant change in visual field over time for this subject. Report a two-sided p-value? Ophthalmology...
Is there evidence of non linearity for age or for height? There was some previous literature that the effect of age and height on FEV might not be linear. Hence, we ran the regression model in Table...
What does the regression coefficient for smoking mean in Table 11.34? How does it differ from the regression coefficient in Table 11.33? It is well known that age, height, and sex are important...
Suppose the S&P 500 currently has a level of 960. One contract of S&P 500 index futures has a size of $250 S&P 500 index. You wish to hedge an $800,000-portfolio that has a beta of 1.2. (A)In order...
Exhibit 4.1 The balance sheet and income statement shown below are for Koski Inc. Note that the firm has no amortization charges, it does not lease any assets, none of its debt must be retired during...
Haley is 57 years of age. She is planning for future long-term care needs. She knows that yearly nursing home costs in her area are currently $69,000, with prices increased by 5 percent annually....

A cyclist is travelling along a straight road. The distance in metres of the cyclist from a

Question:

Step by Step Answer:

To find an expression for ft we need to integrate ft with respect to t since the derivative of a fun...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions