Figure shows the acceleration of a particle versus time. (a) What is the magnitude of the area

Question:

Figure shows the acceleration of a particle versus time.

(a) What is the magnitude of the area of the rectangle indicated?

(b) The particle starts from rest at t = 0. Find the velocity at t = 1s, 2s, and 3s by counting the rectangles under the curve.

(c) Sketch the curve v(t) versus t from your results for part (b), and estimate how far the particle travels in the interval t = 0 to t = 3s.

a, m/s? 3 2 1 2 3 4 t, s

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

Step by Step Answer:

Related Book For book-img-for-question

Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

See More Books

Question Posted: Jun 01, 2011 02:50 AM

See More Questions

The acceleration of a particle is given by ax < t) = -2. (JOm/S2 + (3.oom/s3)t. (a) Find the initial velocity vax such that the particle will have the same x-coordinate at t = 4.00 s as it had at t =...
The acceleration of a particle is defined by the relation a= k v, where k is a constant. Knowing that x = 0 and v = 25 ft/s at t = 0, and that v = 12 ft/s when x = 6 ft, determine (a) The velocity of...
A 2000-kg automobile starts from rest at point A on a 6o incline and coasts through a distance of 150 m to point B. The brakes are then applied, causing the automobile to come to a stop at point C,...
Ito calculus and Ito's Lemma. Suppose dZ is the increment of a Wiener process and dX = (X(t), t)dt + o(X(t), t)dZ. (a) If F(X,t) = e"X, what is dF(X,t) (interpreted in the sense of Ito calculus)? (b)...
A space probe may be carried by a rocket into outer space. What keeps the probe moving after the rocket no longer pushes it?
Royal Dutch Shell is a petroleum and petrochemicals company. It engages primarily in the exploration, production, and sale of crude oil and natural gas and the manufacture, transportation, and sale...
Water at $0.1 \mathrm{~m}^{3} / \mathrm{s}$ and alcohol $(S G=0.8)$ at $0.3 \mathrm{~m}^{3} / \mathrm{s}$ are mixed in a $y$-duct as shown in Fig. 5.14. What is the average density of the...
A turbine discharges 200 kg/h of saturated steam at 10.0bar absolute. It is desired to generate steam at 250C and 10.0 bar by mixing the turbine discharge with a second stream of superheated steam of...
Non-current liabilities Bonds payable Equity Share capital-ordinary, 1.00 par, authorized 400,000 shares, issued 295,500 Share premium-ordinary Retained earnings 505,500 295,500 165,500 ? Prepare a...
The Student Government Association at Middle Carolina University wanted to demonstrate the relationship between the number of beers a student drinks and his or her blood alcohol content (BAC). A...
The equation of the curve shown in Figure is v = 0.5t 2 m/s. Find the displacement of the particle for the interval 1 s ? t ? 3 s by integration, and compare this answer with y our answer for Problem...
Figure is a graph of v versus t for a particle moving along a straight line. The position of the particle at time t = 0 is x 0 = 5m. (a) Find x for various times t by counting squares, and sketch x...
On November 30, 2012, there was a fire in the factory of Able Manufacturing Limited, where you work as the controller. The work in process inventory was completely destroyed, but both the materials...
Jean Piaget believed that around age 11, young people enter the formal operational stage, in which they develop the capacity for advanced cognitive thinking. What are the major characteristics of the...
In ANOP, p = 72 inches, o = 71 inches and Z0-43. Find all possible values of ZP, to the nearest degree
What extent do critical approaches necessitate interdisciplinary convergence, and what are the benefits and drawbacks of such a convergence?
What information do you need to prepare a Statement of Cash Flows of a company
Determine the price of a $ 3 , 0 0 0 , 0 0 0 bond issue using Excel's = PV function under five independent assumptions: Navigation: Use the Open Excel in New Tab button to launch this question. When...
Using the FAIR test, evaluate Tim Cooks open letter to customers (published as A Message to Our Customers on February 16, 2016, on the Apple website: www.apple.com/customer-letter/). Address each...
Which of the ocean zones shown would be home to each of the following organisms: lobster, coral, mussel, porpoise, and dragonfish? For those organisms you identify as living in the pelagic...
What is the solubility product constant? Write a general expression for the solubility constant of a compound with the general formula A m X n .
A 2.00-mol sample of oxygen gas is confined to a 5.00-L vessel at a pressure of 8.00 atm. Find the average translational kinetic energy of an oxygen molecule under these conditions.
A spherical balloon of volume 4 000 cm3 contains helium at an (inside) pressure of 1.20 X 105 Pa. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is 3.60...
Use the definition of Avogadros number to find the mass of a helium atom.
The wheels of a skateboard roll without slipping as it accelerates at 0.45 m/s down an 80-m-long hill. Part A If the skateboarder travels at 1.5 m/s at the top of the hill, what is the average...
A 2.30 g air-inflated balloon is given an excess negative charge, q = -3.50 10-8 C, by rubbing it with a blanket. It is found that a charged rod can be held above the balloon at a distance of d =...
A positive charge q = 2.60 C on a frictionless horizontal surface is attached to a spring of force constant k as in the figure shown below. When a charge of 42 = -8.350 C is placed 9.50 cm away from...

Figure shows the acceleration of a particle versus time. (a) What is the magnitude of the area

Question:

a, m/s? 3 2 1 2 3 4 t, s

Step by Step Answer:

a Find the area of the rectangle A 05 ms 2 05 s 025 ms b ...View the full answer

Fundamentals of Ethics for Scientists and Engineers

Students also viewed these Mechanics questions