(Ex. 5.3 of Module 5 Part 1) The position of a particle moving along the x-axis is described by x = t3 – 108t in where t is the time in sec and x is in meter. For the time interval t = 0 to t = 10 s, (a) plot the position, velocity and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.

(Ex. 5.3 of Module 5 Part 1) The position of a particle moving along the x-axis is described by x = t3 – 108t in where t is the time in sec and x is in meter. For the time interval t = 0 to t = 10 s, (a) plot the position, velocity and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter18: Mathematics In Engineering

Section: Chapter Questions

Problem 3P

See similar textbooks

Similar questions

The position coordinate of a particle which is confined to move along a straight line is given by s = 2t³ - 24t + 6, where s is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t = 0
Fluid mechanics- Bernoulli's Equation along a streamline: The flow-metering device shown consists of a stagnation probe at station 2 and a static pressure tap at station 1. The velocity at station 2 is twice that at station 1. Air with a density of 1.2kg/m3 flow through the duct. A water manometer is connected between the stagnation probe and the pressure tap, and a deflection of 10cm is measured. What is the velocity at station 2?
pls help! write the complete solutions and legibly. UPVOTE will be given! Answer in 4 decimal places. Dynamics of Rigid Bodies The assembly consists of an 8-kg disk and a 10 kg bar pinned to the disk. If the system is released from rest, determine the angular acceleration of the disk. Take mS 0.6, and mK = 0.4. Neglect friction at B.
Rotation of the radially slotted arm shown in the figure below is governed by Ѳ = 0.2t + 0.02?^3, where ‘Ѳ’ is in radians and ‘t’ is in seconds. Simultaneously, the power screw in the arm engages the slider B and control its distance from O according to r = 0.2 + 0.04?^2, where ‘r’ is in meters and ‘t’is in seconds. a. What is the distance of the slider from point O after 4 seconds?b. What is the velocity of the slider after 4 seconds?c. What is the acceleration of the slider after 4 seconds?
1.The location of a certain particle that is only limited to move along a linear direction is given by S = 2t^3 – 24t + 6, such that the unit of s is in meters from an acceptable origin and t is measured in seconds. Solve for the following: -The time needed for that certain particle to attain a velocity of 72 m/s from rest when t = 0. -The acceleration of the particle when it reaches V = 30 m/s -Net displacement in meters from t = 1 second to t = 4 seconds
Given the acceleration-time diagram sketch the velocity-time diagram and determine the displacement at time=9s.
Situation 2: The displacement (in meter) of a particle moving along x - axis is givenby x=At^2 + B , where A = 2m and B = 3m. Calculate average velocity between t =3sand t = 5s.Situation 2: Calculate instantaneous velocity at t = 5sSituation 2: Calculate instantaneous acceleration.
A thin empty frame is hung along side A (see figure). Side A is 1.08 m long and side B is 0.9446 m long. Side C is hit by a bullet with a mass of 21.51 g, an initial speed of 188.825 m/s and a final speed of −113,566 m/s. Calculate the rotational speed of the frame after the ball has bounced against it if the frame rotates frictionlessly about the z-axis and the mass moment of inertia of the frame around this axis is 1,563 kg · m². Assume that the ball bounces straight back after the impact.
The motion of a particle is defined by the parametric equations ax =0.8t, ay =2–0.3t, az =5 where “a” is in m/s2 and t in seconds.The particle is at rest and is placed at the origin at t = 0. What is the acceleration of the particle after 10 seconds? What is the velocity of the particle after 10 seconds?
1.The position of a particular particle as a function of is given by r=(8.5t i+5.6j-2t 2k )m (a) Determine the particle’s velocity and acceleration as a function of time. (b) Find the instantaneous velocity and acceleration of the particle at t=3.0 s. Question 2 . At t=0, a particle starts from rest and moves in the xy space with an acceleration a=(4 i+6 2 j)m/s . Determine (a) the velocity and position of the particle as a function of time. (b) evaluate the speed and position of the particle at t=5.0 s.