A particle moves along a line. At time t (in seconds), the particle's velocity is v(t)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A particle moves along a line. At time t (in seconds), the particle's velocity is v(t) = t² - 3t+2 (in m/s). Find the particle's net displacement and total distance traveled over the time interval [-1, 6]. Net displacement = Total distance traveled = 899 (m) (m) To understand the terms "net displacement" and "total distance travelled," imagine a particle that moves from x = 0 to z = 2, then back to = 1. Its net displacement is 1, since it started at position 0 and ended at position 1. Its total distance travelled is 3, since it moved 3 units all together. A particle moves along a line. At time t (in seconds), the particle's velocity is v(t) = t² - 3t+2 (in m/s). Find the particle's net displacement and total distance traveled over the time interval [-1, 6]. Net displacement = Total distance traveled = 899 (m) (m) To understand the terms "net displacement" and "total distance travelled," imagine a particle that moves from x = 0 to z = 2, then back to = 1. Its net displacement is 1, since it started at position 0 and ended at position 1. Its total distance travelled is 3, since it moved 3 units all together.
Expert Answer:
Related Book For
Engineering Mechanics Dynamics
ISBN: 9781118885840
8th Edition
Authors: James L. Meriam, L. G. Kraige, J. N. Bolton
Posted Date:
Students also viewed these mathematics questions
-
A particle moves along the x-axis with the velocity history shown. If the particle is at the position x = 4 in. at time t = 0, plot the corresponding displacement history for the time interval 0 t ...
-
A particle moves along a line with velocity function v(t) = t2 - t, where is measured in meters per second. Find (a) The displacement and (b) The distance traveled by the particle during the time...
-
A particle moves along the x axis. Its position is given by the equation x = 2 x 3t - 4t2 with x in meters and t in seconds. Determine (a) Its position when it changes direction and (b) Its velocity...
-
The registers values in AX and BX can be exchanged using stack operations that are: Select one: a. PUSH bx PUSH ax POP bx POP AX b. none C. PUSH ax PUSH bx POP ax POP bx d. PUSH ax POP ax PUSH bx POP...
-
Consider the problem above again. Suppose we tossed a coin T times and the resulting zt were all +1. The reward will be: (a) Show that the conditional expected reward as we just play one more time...
-
10. The specific antidote to botulinum toxin is a. sodium bicarbonate. b. antitoxin. c. pralidoxime. d. naloxone. 11. The term used to indicate the extent to which a drug reaches its site of action...
-
The motion of a lifting surface about the steady flight path due to atmospheric turbulence can be represented by the equation \[\ddot{x}(t)+2 \zeta \omega_{n} \dot{x}(t)+\omega_{n}^{2}...
-
Seminole Company began year 2013 with 23,000 units of product in its January 1 inventory costing $ 15 each. It made successive purchases of its product in year 2013 as follows. The company uses a...
-
A pile group consists of nine friction piles in clay soil (see Figure 10-40). The diameter of each pile is 16 in., and the embedded length is 30 ft each. Center-to-center pile spacing is 4 ft. Soil...
-
Rianni Sonns recently died after a brief illness and is survived by her two children, Daysha and Dominic. Rianni was very close with her daughter, Daysha, but had not had a relationship with her son...
-
Jack-N-Jill reported $657,750 as income from operations and 200,000 shares as its weighted average common shares outstanding for the year. Jack-N-Jill also had outstanding 27,000 6% preferred shares...
-
The growth of private equity markets in the United States expands the options available to firms to raise funds, as well as the investment choices available to some investors. Why do you think...
-
What is a reliable customer?
-
The imposition of new trade tariffs has resulted in tensions between the United States and some of its major trading partners. Suppose you are a small business owner in the United States. a. How...
-
What role does customer satisfaction play in the development of reliable customers?
-
A risk-averse investor: a. Always prefers a certain return to an uncertain one with the same expected return. b. Requires compensation in the form of a risk premium in order to take risk. c. Trades...
-
i. What is Seaside Corporation's return on equity (ROE)? Calculate Seaside Corporation's return on assets (ROA)? What is Seaside Corporation's Total Asset Turnover Ratio? What dividend per share...
-
You have accepted the engagement of auditing the financial statements of the C. Reis Company, a small manufacturing firm that has been your auditee for several years. Because you were busy writing...
-
The wheel rolls without slipping. For the instant portrayed, when O is directly under point C, link OA has a velocity v = 1.5 m/s to the right and = 30. Determine the angular velocity w of the...
-
The 30-in. slender bar weighs 20 lb and is mounted on a vertical shaft at O. If a torque M = 100 lb-in. is applied to the bar through its shaft, calculate the horizontal force R on the bearing as the...
-
A uniform slender rod rests on a car seat as shown. Determine the deceleration a for which the rod will begin to tip forward. Assume that friction at B is sufficient to prevent slipping. Vertical ...
-
The contour of a bumpy road is approximated by \[ y(x)=0.03 \sin (0.125 x) \mathrm{m} \] What is the amplitude of the vertical acceleration of the wheels of an automobile as it travels over this road...
-
A 2 ton truck is traveling down an icy, \(10^{\circ}\) hill at \(50 \mathrm{mph}\) when the driver sees a car stalled at the bottom of the hill \(250 \mathrm{ft}\) away. As soon as he sees the...
-
The velocity of the block of the system of Figure P1.11 is \(\dot{y}=0.02 \sin 20 t \mathrm{~m} / \mathrm{s}\) downward. (a) What is the clockwise angular displacement of the pulley? (b) What is the...
Mastering Python A Comprehensive Guide To Programming 1st Edition - ISBN: 979-8396402379 - Free Book
Study smarter with the SolutionInn App