A particle P is projected from the origin O so that it moves in a straight line.
Question:
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 = 2t2 – 14t + 12.
i. Find the time at which P first comes to instantaneous rest.
ii. Find an expression for the displacement of P from O at time t seconds.
iii. Find the acceleration of P when t = 3.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
i To find the time at which P first comes to instantaneous rest we need to find the value of ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
A ball moves in a straight line (the x-axis). The graph in Fig. 2.33 shows this ball's velocity as a function of time. (a) What are the ball's average speed and average velocity during the first 3.0...
-
A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in Figure. The scale of the figure's vertical axis is...
-
After taking off, a helicopter climbs in a straight line at a constant angle . Its flight is tracted by radar from point A. Determine the speed of the helicopter in terms of d, , , and
-
On January 1, 2011, M Company granted 98,000 stock options to certain executives. The options are exercisable no sooner than December 31, 2013 and expire on January 1, 2017. Each option can be...
-
Prospectors are considering searching for gold on a plot of land that contains 1.16 g of gold per bucket of soil. If the volume of the bucket is 4.08 L, how many grams of gold are there likely to be...
-
Consider the diff-amp in Figure P11.46. The transistor parameters are: \(K_{n 1}=K_{n 2}=50 \mu \mathrm{A} / \mathrm{V}^{2}, \lambda_{1}=\lambda_{2}=0.02 \mathrm{~V}^{-1}\), and \(V_{T N 1}=V_{T N...
-
Using only the data in Table 4-17, create a set of relational tables that solve the update, insert, and delete anomalies. Table 4-17 Invoice table Invoice # Date Order Date Customer ID Customer Name...
-
Lados operates a chain of sandwich shops. The company is considering two possible expansion plans. Plan A would open eight smaller shops at a cost of $8,600,000. Expected annual net cash inflows are...
-
(1 point) Bob makes his first $1,200 deposit into an IRA earning 7% compounded annually on the day he turns and his last $1,200 deposit on the day he turns 35 (8 equal deposits in all). With no...
-
Given the following data, calculate a level production plan, quarterly ending inventory, and average quarterly inventory. If inventory carrying costs are $6 per unit per quarter, what is the annual...
-
A particle travels in a straight line so that, t seconds after passing through a fixed-point O, its velocity v ms -1 , is given by v = 8 cos (t/4). a. Find the value of t when the velocity 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 = 4e 2t + 6e -3t . a. Show that the velocity is never...
-
We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2 for using that test are...
-
Shekel is evaluating a bond issued by ABC Ltd that has a face value of $1,000 and a coupon rate of 5% pa. The coupons are paid semi-annually and the bond has 10 years to maturity and 6.5% pa yield....
-
What are the implications of demographic shifts, including population aging, urbanization, and migration patterns, for social cohesion, resource distribution, and political dynamics within...
-
Maybepay Life Insurance Co. is selling a perpetual annuity contract that pays $2,750 monthly. The contract currently sells for $400,000. a. What is the monthly return on this investment vehicle? (Do...
-
What accounts for the foreign and domestic policy accomplishments and failures of modern presidents?
-
Conduct a content analysis, identifying key themes, sentiments, and political biases on the Asbestos found in mulch in Sydney and Melbourne ?
-
Nygren Corporation, a private company, is authorized to issue an unlimited number of common shares and 500,000, $5 cumulative preferred shares. It began operations on January 1, 2017, and the...
-
2. Assume a person bends forward to lift a load "with his back" as shown in Figure P12.42a. The person's spine piv- ots mainly at the fifth lumbar vertebra, with the principal supporting force...
-
On April 27, 2017, an office building owned by the Ava James Corporation, an offshore drilling company that is a calendar-year taxpayer, is destroyed by a hurricane. The basis of the office building...
-
On September 3, 2017, Federal Corporations warehouse is totally destroyed by fire. $800,000 of insurance proceeds are received, and the realized gain is $300,000. Whenever possible, Federal elects to...
-
Paden, who is single and has been employed as an accountant for 27 years with Harper, Inc., lost his job due to company downsizing. His last day of employment is July 31, 2017, and Harper provides a...
-
Sitfxfin010 - prepare and monitor budgets - Assessment 3A - Budget project answers - 1.1 Based on the scenario and you own investigation list at least three different items that you would like to...
-
A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times...
-
Provide a meaningful response to these 2 posts. I agree with the first opinion, but give an opinion why you agree with the post. I dont agree with the second response and post why you dont agree....
Study smarter with the SolutionInn App