Question: 24. A particle moves according to the displacement function s(t) = 2t^3-15t^2 + 10t + 1, where s(t) is measured in centimeters and t is

24. A particle moves according to the displacement function s(t) = 2t^3-15t^2 + 10t + 1, where s(t) is measured in centimeters and t is measured in seconds. a) What is the initial position of the particle? b) In what direction is the particle moving at 2 seconds? What is its velocity and acceleration? c) When does the particle change directions? d) When is the particle neither accelerating nor decelerating?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a To find the initial position of the particle we need to find s0 as the initial position correspond... View full answer

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 Physics Questions!

A particle moves according to a law of motion s = f (t) t > 0, where is measured in seconds and in feet. (a) Find the velocity at time t. (b) What is the velocity after 3 s? (c) When is the particle...

The following data refer to Chavis Companys ending inventory: Item code Quantity Unit Cost Unit Market Small Shirts 45 $32 $38 Medium Shirts 60 46 44 Large Shirts 65 42 40 Extra-Large Shirts 35 54 53...

Question: Create A Function In JavaScript Called "Sum" That Takes In An Array As A Parameter And Returns The Sum Of All Of The EVEN

A particle moves according to the law of motion 8 = + - 8+2, +>0, where t is measured in seconds and s in feet. (a) Find the average velocity over the interval [1, 3] ft Answer. (b) Find the velocity...

A particle moves according to the law of motion 8 =+ - 8t', +20, where t is measured in seconds and s in feet. (a) Find the average velocity over the interval [1, 3] Answer. E ft (b) Find the...

these are due at 12 tonight whoever can help PLEASE!!!! youd be a life saver. 1A)You say goodbye to your friend at the intersection of two perpendicular roads. At timeyou drive off North at a...

Find the second derivative for each of the following. a . f(x) = 13x4 - 7x3 + 5x2 + 11x + 75 b . f (x) = (x3 + 2x2 + 4)(x4-3) C. f(x) = (4x3 - 7x)? d. 12 = y2 + x2 2 . The distance travelled by an...

1. Find the second derivative for each of the following. a . f(x) = 13x4 - 7x3 + 5x2 + 11x + 75 b. f(x) = (x3 + 2x2 + 4)(x4 -3) C . f(x) = (4x3 - 7x)7 d. 12 = y2 + x2 2. The distance travelled by an...

Questions:1, 3, 7, 15. Thank you SECTION 1./ Bites of Change in the Natural soul Social Sciences marginal cost and marginal profit in economics; rate of heat flow in geology rate of Improvement of...

1. The position function of a particle is s = t 5 - 60t 3 , t 0, where s is measured in meters and t is measured in seconds. Find the acceleration at the instance when the velocity is zero (0). 2. A...

Many users of financial statements argue that, for most of the decisions that creditors, investors, analysts, and other users have to make, reporting the market values of companies' assets would be...

List the three types of Freehold Estates? Which one is the most common type Landowners hold? List the 4 types of Nonfreehold Estates and state how each one differs from the others? Explain the use of...

The measure on common stock that indicates a company's future earnings prospects is

A computer algebra system is recommended. Consider the initial value problem 2y" + 3y' - 2y = o, y(0) = 1 y'(0) = -B, where B> 0. (a) Solve the initial value problem. y(t) = Find the coordinates (to,...

Which of the following is NOT a characteristic of an OSRV? wet and positive displacement pump uses oil vapor to transfer momentum to gas particles operates up to medium vacuum levels O a usual...

x'=ax +by -x (x + 2y ) y'=-bx +ay -y (x + 2y) 4) Consider the system a) Prove that for each a 0, there exists a non-trivial...

Find the Thevenin Resistance across node ab R4 12 R3 R2 6. V1 10 R1 b 5.83 Ohms 12 Ohms 6 Ohms 3 Ohms a. 3.

For a 60HZ signal, if the voltage at any instant is given by = V sin(@wt), where V is the amplitude(maximum value) of the voltage, what instant in time does the first maximum occur? 4.16 ms 2.08 ms...

Accrual basis accounting: 8 0 0 . 2 9 - 3 9 Multiple ChoiceIs flawed because it gives complete information about cash flows.Eliminates the need for adjusting entries at the end of each...

Find f'(x) If it is known that d/dx [f(2x)] = x2

Use the Midpoint Rule with n = 5 to estimate the volume obtained by rotating about the y-axis the region under the curve y = 1 + x3, 0 x 1.

Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. Give reasons for your choices. (a) (b) (c) (d) I II III IV %24 y.

10. Body Mass Index A study using body mass index (BMI)an index of obesityas a function of income ($ thousands) reported the following data for California in 2016 a. If the researcher thinks that BMI...

11. Professor Asimov Professor Isaac Asimov wrote nearly 500 books during a 40-year career. In fact, as his career progressed, he became even more productive in terms of the number of books written...

9. Grocery Costs The amount spent on groceries per week (y) and the number of household members (x) from Example 3.3 are shown below a. Find the least-squares line relating the amount spent per week...