(a) The velocity of a particle changes from vị = 2î + 5ĵ -3k m/s toV2 = 5î - 7j+ 2k m/s in 2 s. What is its average acceleration?(b) A particle has an acceleration of a = -7î + 3ĵ m/s² for a period of 4 s. After thistime the velocity is V2 = 6î - 2k m/s. What was the initial velocity?%3D

Given: The initial velocity of particle is v1=2i^+5j^-3k^. The initial velocity of particle is…

Answered: (a) The velocity of a particle changes…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s
Peacock mantis shrimps (Odontodactylus scyllarus) feed largely on snails. They shatter the shells of their prey by delivering a sharp blow with their front legs, which have been observed to reach a peak speed of 23 m/s. What is this speed in kilometers per hour?
The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect metersc) Find the total distance traveled by the object from time 0 to time 3. meters
The acceleration of a race car as a function of time is a(t) = kt, where a is measured in meters per second squared, t is measured in seconds and k is a constant. If its velocity at t = 0 is 2 m/s, and it is 26 m/s at t = 2 s, what is the value of the constant, k? * O 12 m/s^3 O 12 m/s^2 24 m/s^3 13 m/s^3
The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (14.9î + 18.4ĵ) m/s. At t = 3.1 s the velocity is 11.4ĵ m/s. (Use the following as necessa (a) What is the particle's acceleration (in m/s²)? a = -4.81 Î+ -2.28 m/s? (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = v(t) m/s
An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) An object's instantaneous velocity at t = 3.00 seconds is 45.5 m/s What is the object's average velocity between t = 0 and t = 3.00 seconds? Answer is 68.0 m/s^2 What is the object's average acceleration between t = 0 and t = 3.00 s Answer : - 50.5 m/s^2
Tectonic plates are large segments of the earth's crust that move slowly. Suppose one such plate has an average speed of 3.0 cm per year.(a) What distance does it move in 97 seconds at this speed?m(b) What is its speed in miles per million years?mi/My
(a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s. What is its average acceleration? (b) A particle has an acceleration of a = -7i + 3j m/s2 for a period of 4 s. After this time the velocity is V2 = 6i - 2k m/s. What was the initial velocity?
The typical American man has a leg length of 0.85 m and walks at a speed of 1.4 m/s. A giraffe’s legs are 1.8 m long. At what speed do you expect a giraffe to walk? Hint: An animal’s speed is proportional to the length of its legs times the frequency of its strides.
(a) The velocity of a particle changes from v = 2î + 5ĵ -3k m/s to V2= 5î - 7j+ 2k m/s in 2 s. What is its average acceleration? (b) A particle has an acceleration of a = -7î + 3ĵ m/s² for a period of 4 s. After this time the velocity is V2 = 6î - 2k m/s. What was the initial velocity?
A taxi cab drives 2.0 km [W], then 3.0 km [N], then 4.0 km [W], and finally 5.0 km [N]. The entire trip takes 0.30 h. What is the taxi's average velocity?
The velocity of a rocket is given as a function of time by v(t) = A(1 – e-bt) for 0 , t , 30 s, where the constants A = 150 and b = -0.15. [ d/dx (e-ax dx) = -a e-ax; ∫ e-ax dx = -1/a e-ax ] a) What are the SI units of A and b? b) What is the speed of the rocket at t = 10 s? c)Find the displacement of the rocket in the first 10 s ( from t = 0 s to t = 10 s)

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