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:
Answer rating: 100% (4 reviews)
a The particle is instantaneously at rest when its velocity is zero We can use the equation for velo...View the full answer
Answered By
Sanjay kumar
Hi there! My name is Muhammed Mundhir p, and I've always been drawn to the technical side of things, and studying astrophysics has given me a chance to really stretch my analytical and critical thinking skills. From studying the behavior of black holes to exploring the mysteries of dark matter, there's always something new and exciting to learn in this field.
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
-
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?
-
On October 1, 2009, ACME Athletic Equipment Company purchased athletic equipment on account for $10,500 from Sporting Goods Unlimited. On November 1, ACME renegotiated its debt by signing a...
-
Flexible and Master Budget) Jones Hardware Division estimated that it would sell 125,000 units this past year. The division planned to ship 1,000 shipments to customers and to utilize 280 m 2 of the...
-
Two firms have sales of $1 million each. Other financial information is as follows: What are the operating profit margins and the net profit margins for these two firms? What is their return on...
-
The length of a rectangular garden is 3 times the width, y. The owner increases the width and length of the garden by 2 feet. Which expression models the new area of the garden?
-
Mr. T makes a good recovery and is discharged from the hospital, but a few weeks later you meet him again in the outpatient clinic complaining of headache, blurred vision, and pinkeye. His eyes are...
-
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...
-
Multiple Choice Questions 1. Which of the following statements is correct? a. A calendar year corporation must file its tax return no later than April 15 unless it requests an extension. b. A...
-
When a driver hits the brakes friction between the brake drums and the brake shoes converts the cars kinetic energy into internal energy. As a 1 2 5 0 kg car traveling at 3 1 . 5 m / s comes to a...
-
1. In what way did Katz v. United States (1967) change Fourth Amendment law? 2. What is the relationship of Jones v. United States (2012) to Katz v. United States (1967)? 3. What are the basic...
-
What are the primary factors driving resistance to organizational change, and how can leaders effectively manage and mitigate this resistance ?
-
Inputs Yearly rental cost Other monthly fixed costs Cost per copy Charge per copy Days per year Months per year Copies per copier per year Profit model Copiers rented (trial value) Daily demand...
-
Variable manufacturing overhead costs $83160 Fixed manufacturing overhead costs $27720 Normal production level in labor hours 22100 Normal production level in units 5775 Standard labor hours per unit...
-
Reconsider Wimpy's Burgers from problem l. In a slow year, Wimpy's Burgers will produce 1 million hamburgers at a total cost of $1.75 million. In a good year, it can produce 2 million hamburgers at a...
-
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...
-
2. Perusahaan selam sebulan menjual produknya sebanyak 100 unit. Sediaan produk jadi awal 5 unit, dan sediaan produk jadi akhir 8 unit. Terdapat sediaan produk dalam proses 10 unit dengan tingkat...
-
A tax credit is available for health practitioners in certain rural areas of Oregon. The credit is based on eligibility requirements determined by the Office of Rural Health. Who can claim the...
-
Which of the following statements is true concerning the credit taken for income taxes paid to another state? Question 10Select one: a. If a taxpayer pays tax to Oregon and another state on the same...
Study smarter with the SolutionInn App