A particle, moving in a straight line, passes through a fixed-point O. Its velocity v ms -1

Question:

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 = 6e^2t – 2t.

a. Find the initial velocity of the particle.

b. Find the initial acceleration of the particle.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 03:09 AM

See More Questions

A particle moving in a straight line passes a fixed-point O with velocity 18 ms -1 . Its acceleration a ms -2 , t seconds after passing through O is given by a = 3t 12. a. Find the values of t when...
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 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...
Following the example from the picture below, do the same for tryptophan and aspartate, consider pk1, pkR and pk2. COOH HSCH Net charge: PH H CH COOH +1 10 8 6 4 2 COOH 0 Glutamate Jpk 2.19 pk 4.25 ...
One year of world production of gold was 49.6 106 troy ounces. One troy ounce equals 31.10 g. What was the world production of gold in metric tons (106 g) for that year?
From the e-Activity, explain what either Lenski or Durkheim would say about the technologys impact of society. Draw upon your camping and/or hunting experience or television viewing of such shows as...
You navigate a ship from a pier to a buoy $1500 \mathrm{~m}$ northeast of the pier. There you sail to a point $300 \mathrm{~m}$ south and $700 \mathrm{~m}$ east of the buoy. What is your...
Kasten Inc. provides paid vacations to its employees. At December 31, 2010, 30 employees have each earned 2 weeks of vacation time. The employees average salary is $500 per week. Prepare Kastens...
7. The full symbol of an ion of an element is 39X+? Which one of the following is the number of electrons in the ion? A. 18 B. 19 C. 20 D. 39 8. The atomic numbers of elements W, X, Y and Z are 9,...
A stock is worth $10 today and will be worth either $14 or $8 two years from today. It pays no dividend. r=6%. Using a one-period binomial model. a. How many shares (and indicate whether you are long...
A particle, moving in a straight-line, passes through a fixed-price O. Its velocity v ms -1 , t seconds after passing through O, is given by v = 32/(t+2) 2 . a. Find the acceleration of the particle...
The velocity-time graph represents the motion of a particle moving in a straight line. a. Find the acceleration during the first 5 seconds. b. Find the length of time for which the particle is...
Each ordered pair given in Exercises is located on the graph of either y = a sin x or y = a cos x where the amplitude is |a| = 2.50. Use the trace feature on a calculator to determine the equation of...
a list of 3 proverbs (listed below) from your own culture, identify the values being taught, and determine the extent to which the values are held and acted out in your culture. Each group must...
At the stage of development we should Build a Belt & Boot (B3) be sourcing hides through wholesalers or direct from tanneries? why
Describe how the analysis process training can be focused on business priorities and critical strategies essential to the organization's success. Discuss the factors that hinder and facilitate...
Ernesto, Inc., has the following three bond issues outstanding: Book Yield to Value Maturity $380m 7.91% $120m 6.48% $225m 7.63% What is Ernesto's pre-tax weighted average cost of debt?
11.) Bella purchase a new pair of shorts from Athleta. The shorts were on sale for $14.99 and were originally priced $49.99. What was the percent of discount the shorts were marked down? Round your...
Draw a segment of polystyrene that contains abnormal head-to-head and tail-to-tail linkages.
Consider the combustion of methanol below. If 64 grams of methanol reacts with 160 grams of oxygen, what is the CHANGE in volume at STP. 2CH3OH(g) + 3O2(g) 2CO2(g) + 4H2O(1) The volume decreases by...
Sarah, a married taxpayer who files a joint return, is considering a foreign assignment for two years. In 2017, she will earn $120,000 in the foreign country. Sarah has no other income. She will be...
Describe the tax costs to a taxpayer who does not purchase health insurance coverage for 2017. Assume the taxpayer is single, 40 years old, has no dependents, has household income of $55,000, and...
What types of business property qualify for the business energy credit?
If the fair value adjusting entry on December 31, 2023, were not recorded, what would the effect be on the income statement and balance sheet?
If you wanted to know how much of its net income a corporation distributed as Which financial swement would you look at?
Gale's Pet Supplies bought $25,000 inventory on account (on credit). Explain how Gale's Pet Supplies should recognise asset and liability for this event, justifying your answer

A particle, moving in a straight line, passes through a fixed-point O. Its velocity v ms -1

Question:

Step by Step Answer:

a The initial velocity of the particle is the velocity at t0 When t0 v6e2t 2t 6e0 20 6 0 ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions