A particle has velocity v = kx sin x ms -1 , where x is the distance

Question:

A particle has velocity v = kx sin x ms^-1, where x is the distance from the point O. The particle travels in a straight line. Given that the particle has velocity v = 2m s^-1 when x = 3π/2 m, find the acceleration of the particle when x = 5π/2 m.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

See More Books

Question Posted: Oct 07, 2021 01:30 AM

See More Questions

Find the formula for the distance from a point to a line.
The distance from a point x0 = (x0, y0, z0) to a plane II in R3 is defined to be where v := (x0 - x1, y0 - y1, z0 - z1) for some (x1, y1, z1) II, and v is orthogonal to II (i.e., parallel to its...
A boat leaves point A and travels in a straight line to point B. The journey takes 60 s. Calculate: a. The distance travelled by the boat b. The total displacement of the boat c. The average velocity...
Ask survey subjects to estimate the length of 1 minute without looking at a watch or clock. Each subject should say go at the beginning of the minute and then stop when he or she thinks that 1 minute...
Compare the advantages of a force-out marketing strategy in grocery stores versus having to personally introduce the buyer-approved fry bread to each store manager in a chain?
On October 18, 2014, Daley Inc. purchased 100 shares of Orthon at $32 per share. The investment was classified as available-for-sale securities. The shares were held throughout the remainder of 2014...
In Example 8.6, suppose both people pull on the same end of the rope, each exerting a force $F$, while the other end is still tied to the tree. Is the tension in the rope larger than, equal to, or...
A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in Assume that melting point is normally distributed with . (a) Test H0: = 155 versus H0:...
11. Combustion of 1 mole of C6H6(l) inside a closed container of constant volume liberates 900 kJ of heat energy. What would be the value of heat liberated per mole of C6H6(l) if the reaction occurs...
Harriet's Hats is a retailer who buys hats from a manufacturer and then sells them in its stores. The following information includes the company's December 31, 20Y8 Balance Sheet and the details of...
A particle travels in a straight line with velocity v = 2 + sin tms -1 . It passes through the point O when t = 0s. Find the displacement from O after four seconds.
A truck of mass 12000 kg is driving at a constant speed of 15 ms -1 . The truck driver sees a red traffic light 100m ahead and applies the brakes. This produces a braking force of magnitude 300t 2 N....
Find all the unknown angle measures in the diagram at the right. Justify your reasoning for each angle measure. 3. 1 40 4 2 5 30
what is the relationships between organization commitment and employee job satisfaction? 2. what is the relationship between work life balance and employee job satisfaction? 3. what is the...
What are the limitations of the GDP in measuring total output and national welfare? What are the impacts of the shortcomings of the GDP as a measure of the national product and national welfare?...
at age 21 Julio begins saving $1,000 each year until age 35 (15 payments) in an ordinary annuity paying 5.2% annual interest compounded yearly and then leaves his money in the account until age 65...
Questions: A. The "Three Friends Company" has a target dividend payout of $147,000 of net income. Based on the 2021 financial statements relationships, estimate the sustainable sales growth rate for...
To determine the issue price of a term bond, the present value of the principal and interest payments must be found using the stated interest rate.true or false
(a) Assume the Earth is a uniform solid sphere. Find the kinetic energy of the Earth due to its rotation about its axis? (b) Suppose we could somehow extract 1.0% of the Earth's rotational kinetic...
Select a mass spectrometric technique with the highest mass resolution for identifying an unknown compound being eluted from a liquid chromatography column
Draw a Frost circle for the following cation, and explain the source of instability of this cation.
Do you expect the following dianion to exhibit aromatic stabilization? Explain.
Would you expect the following compound to be aromatic? Justify your answer. OR N-
Tom is training for a marathon. He started from his house at 4:00 am. At 5:30 am, he was 7.5 miles away from his house. The coordinates (2, 10) on Tom's graph indicate that
Results of cost estimating are used for a variety of purposes, including the following: Question 20Select one: a. evaluating how much capital can be justified for process changes or other...
A whistleblower reported a nurse colleague for unethical practice. Another whistleblower a physician in the veterans administration system reported administrators for unsafe patient care practices....

A particle has velocity v = kx sin x ms -1 , where x is the distance

Question:

Step by Step Answer:

The acceleration of the particle is the second derivative of i...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

Students also viewed these Sciences questions