1. The velocity of a particle which moves along the a linear reference axis is given by v = 2-41-613, † is in seconds while v is in meters per second. Eval- uate the position, velocity and acceleration when t = 3 seconds. Assume an your own initial position and initial point in time. Further, set a variable for position as you see fit.

1. The velocity of a particle which moves along the a linear reference axis is given by v = 2-41-613, † is in seconds while v is in meters per second. Eval- uate the position, velocity and acceleration when t = 3 seconds. Assume an your own initial position and initial point in time. Further, set a variable for position as you see fit.

Name: Applying principles of dynamics provide a complete solution 1. The vel
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: Applying principles of dynamics provide a complete solution 1. The velocity of a particle which moves along the a linear reference axis is given by v = 2-4t-6t3, t is in seconds while v is in meters per second. Eval-uate the position, velocity and ac

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....

See similar textbooks

Similar questions

A ball is thrown straight up. It passes a 2.00-m-high window 7.50 m off the ground on its path up and takes 0.312 s to go past the window. What was the ball's initial velocity? Hint: First consider only the distance along the window, and solve for the ball's velocity at the bottom of the window. Next, consider only the distance from the ground to the bottom of the window, and solve for the initial velocity using the velocity at the bottom of the window as the final velocity.
Is it possible for velocity to be constant while acceleration is not zero? Explain.
Plus and minus signs are used in one-dimensional motion to indicate direction. What is the sign of an acceleration that reduces the magnitude of a negative velocity? Of a positive velocity?
The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 . Find (a) the velocity and acceleration of the particle as functions of time, (b) the velocity and acceleration at t=2.0s , (c) the time at which the position is a maximum, (d) the time at which the velocity Is zero, and (e) the maximum position.
An object that is thrown straight up falls back to Earth. This is one-dimensional motion. (a) When is its velocity zero? (b) Does its velocity change direction? (c) Does the acceleration clue to gravity have the same sign on the way up as on the way clown?
Using approximate values, calculate the slope of the curve in Figure 2.62 to verify that the velocity at t=30.0 s is 0.238 m/s. Assume all values are known to 3 significant figures.
Give an example in which there are clear distinctions among distance traveled, displacement, and magnitude of displacement. Specifically identify each quantity in your example.
A rabbit is moving in the positive x-direction at 2.00 m/s when it spots a predator and accelerates to a velocity of 12.0 m/s along the negative y-axis, all in 1.50 s. Determine (a) the x-component and (b) the y-component of the rabbits acceleration.
A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s. (a) List the knowns in this problem. (b) How high does his body rise above the water? To solve this part, first note that the final velocity is now a known and identify its value. Then identity the unknown, and discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, checking units, and discuss whether the answer is reasonable. (c) How long is the dolphin in the air? Neglect any effects due to his size or orientation.
A projectile is launched from the point (x = 0, y = 0), with velocity (12.0i19.0j)m/s2, at t = 0. (a) Make a table listing the projectiles distance r from the origin at the end of each second thereafter, for 0 t 10 s. Tabulating the x and y coordinates and the components of velocity vx and vy will also be useful. (b) Notice that the projectiles distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the velocity. Suggestion: Argue that if v is not perpendicular to r, then r must lie increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) Explain your method for solving part (c).
At t=10s , a particle is moving from left to right with a speed of 5.0 m/s. At t=20s , the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle’s acceleration is constant, determine (a) its acceleration, (b) its initial velocity, and (c) the instant when its velocity is zero.
A student writes, "A bird that is diving for prey has a speed of -10 m / s." What is wrong with the student's statement? What has the student actually described? Explain.