Question: [Maximum mark: 17] An object moves along a straight line. Its velocity, vms', at time t seconds is given by v(t)=-t+t2t+6, for 0t4. The

[Maximum mark: 17] An object moves along a straight line. Its velocity,

[Maximum mark: 17] An object moves along a straight line. Its velocity, vms', at time t seconds is given by v(t)=-t+t2t+6, for 0t4. The object first comes to rest at t = k. 7 2 The graph of v is shown in the following diagram. At t=0, the object is at the origin. (a) Find the displacement of the object from the origin at t = 1. [5] (b) Find an expression for the acceleration of the object. [2] (c) Hence, find the greatest speed reached by the object before it comes to rest. [5] (d) Find the greatest speed reached by the object for 0t4. [2] (e) Write down an expression that represents the distance travelled by the object while its speed is increasing. Do not evaluate the expression. [3]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

If a random sample is selected from a population with a variance equal to 12, then what can we expect the value for the sample variance to equal on average when we divide SS by df? Upload a photo of...

At an interest rate of 10 percent and using semiannual compounding, how long will it take to double the value of a lump sum invested today? How long will it take after that until the account grows to...

Simone would like to invest a certain amount of money for three years and considers investing in a one-year bond that pays 5 percent. Simone would then like to buy a second one-year bond that is...

Zitao Zhao Homework Set hw3 due 04/06/2017 at 11:00pm EDT AMS151 Spring 2007 1. (1 pt) If f (x) = 7x8 3x5 2x3 + 4x, find f 0 (x). 5. (1 pt) Let f (x) = 2x4 x + x27x . Find f 0 (2). f 0 (x) = Find f...

p.lease answer the following questions in math, answers are given however i need to show my work. Plea,se make sure the handwriting is readable. Thank you so so much and God bless! Q.7 In each case,...

PART I: CALCULUS PART A: KNOWLEDGE 1. a) Differentiate and factor fully if applicable. No negative exponents in solution. 3 y = 3'26 (1 mark) b) = % (3 marks) Evaluate the following limits. x +4 x g...

QUESTION 5 (OF) = (C) x 95 + 32 ( C) = ((OF)-32) x 59 Kelvin (K) = (C) + 273.15 (C) = (K) - 273.15 T = 34 OF T = ?K Enter your numeric result in the usual form with 3 significant digits. 12 points...

Do it on paper!!!! !!!! !!!! !!!!!! DO it on paper pleaseee! MCV4U1 - UNIT 3 - DERIVATIVES AND THEIR APPLICATIONS TEST ROUND ALL ANSWERS TO THE NEAREST TENTH, UNLESS OTHERWISE STATED. 1) The...

* Mt. SAC LEAD Program | Topic: I made a couple changes x 2ag HCHW Ch 2 (31) (1).pdf * WA ZAG HW Ch 2 (17) - Physics Zac X New Tab x 1 +...

Physics 195: Linear Kinematics Page 1 of 6 Linear Kinematics with Constant Acceleration Objectives To understand the relationship between displacement, velocity and constant acceleration; To...

As tuition fees have risen, more students have relied on student loans to help finance their post-secondary education. According to the latest data from Statistics Canada, the majority of Canadian...

Ahlers Clocks is a retailer of wall, mantle, and grandfather clocks and is located in the Empire Mall in Sioux Falls, South Dakota. Assume that a grandfather clock was sold for $ 10,000 cash plus 4...

Coral Bay Electronics Input Area: Equipment $ 8,500,000 Salvage value $ 2,000,000 R&D $ 900,000 Marketing study $ 280,000 Year 1 Year 2 Year 3 Year 4 Year 5 New tracker sales(units) 75,000 95,000...

A shallow foundation measuring 1 m 2 m in plan is to be constructed over a normally consolidated sand layer. Given: D f = 1 m, N 60 increases with depth, N 60 (in the depth of stress influence) =...

Refer to Exercises 28 and 30. a. Verify that the conditions for inference are met. b. Use Table C to find the P-value. Then use your calculators 2 cdf command. c. Interpret the P-value from the...

Determine the impedance ZL for maximum average power transfer and the value of the maximum power transferred to the for the circuit shown in Fig P 9.20 1 1

The financial ratios investigated thus far are based on book values of debt and equity. Determine whether using the market value of equity (market capitalization found on the OVERVIEW page) makes a...

Listed below are the genders of the younger winner in the categories of Best Actor and Best Actress for recent and consecutive years. Do the genders of the younger winners appear to occur randomly? F...

Determine if the overhead allocated to the product relates to a single plantwide overhead rate method, multiple production department factory overhead rate method, or activity-based costing...

21. Consider a single-server bank for which customers arrive in accordance with a Poisson process with rate . If a customer will enter the bank only if the server is free when he arrives, and if the...

23. Consider the gamblers ruin problem where on each bet the gambler either wins 1 with probability p or loses 1 with probability 1 p. The gambler will continue to play until his winnings are either...

24. Walds equation can also be proved by using renewal reward processes. Let N be a stopping time for the sequence of independent and identically distributed random variables Xi , i 1. (a) Let N1 =...