The acceleration of a particle is defined by the relationa= -kx²where a in m/s², X in meters.the particle starts with no initial velocity at x = 12 m₂, undits velocity is 8 m/sec when X=6m.Determine the value of k[324 m³/s²]✰16 the velocity of the particle when X=3m [13.26 m

Answered: Image /qna-images/answer/7a200806-4e83-4e37-9324-89a6c89f112e.jpg

The acceleration of a particle is defined by the relation a=-kx² where a in m/s², X in meters. the particle starts with no initial velocity at x = 12 m, and its velocity is 8 m/sec when X=6m. Determine the value of k 11 the value of k. [324 m²³/s²] 16 the velocity of the particle when X=3m [13.26m]

The acceleration of a particle is defined by the relation a=-kx² where a in m/s², X in meters. the particle starts with no initial velocity at x = 12 m, and its velocity is 8 m/sec when X=6m. Determine the value of k 11 the value of k. [324 m²³/s²] 16 the velocity of the particle when X=3m [13.26m]

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

See similar textbooks

Similar questions

A particle’s velocity along the x-axis is described byv(t) = A t + B t2,where t is in seconds, v is in meters per second, A = 1.06 m/s2, and B = -0.51 m/s3. What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1 = 3.0 s?
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
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.
An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? with everything in 3 sig figs
At t = 0 the coordinates of a particle are x = 0, y = 2.10 m. At a time 1.05 s later, its coordinates are x = 2.94 m, y = 3.80 m. Find the components of the particle's average velocity during this time interval. vx = ? vy = ?
The acceleration of a particle is defined by the relation a = − 0.8 v, where a is expressed in m/s2 and v in m/s. Knowing that at t = 0 the velocity is 1 m/s, determine the distance the particle will travel before coming to rest.
Consider A runner moving in a positive direction with an initial velocity of 4.6 m/s slows down at a constant rate of -1.3 m/s squared over a period of 2 seconds. What distance does she travel during this process?
For a water balloon launched from a 4949-meter overlook with an initial vertical velocity of 24.524.5 meters per second, the height hh in meters as a function of time tt in seconds is h=−4.9t2+24.5t+49h=−4.9t2+24.5t+49. When will the balloon land and burst?
A rocket ship has a position given by x(t)=bt2 meters. In order for it to reach a velocity of 5,000 m/s in 40,000 meters, what must be the value of b?
At highway speeds, a particular automobile is capable of an acceleration of about 2.0 m/s^2 At this rate, how long does it take to accelerate from 70 km/hkm/h to 130 km/hkm/h ?
An object's position as a function of time in one dimension is given by the expression; 2.74t2 + 3.01t + 13.9 where are constants have proper SI Units. What is the object's average velocity between the times t = 4.06 s and t = 8.22 s?
A student solving a physics problem for the velocity of an object has applied appropriate physics principles and obtained the expression v=d/t−v0, where d=35.0meter, t=9.00second, and v0 =3.00meter/second. What is the velocity v?