A particle starts from rest at the origin with an acceleration vector that has magnitude 6 m/s2 and direction 29 ∘ above the positive x axis.
What is the vx component of its velocity vector 25 s later?
What is the vy component of its velocity vector 25 s s later?
What is the particle’s dx position at that time?
What is the particle’s dy position at that time?
Solving the problem by resolving the acceleration , velocity and displacement along x & y axis and applying equations of motion to the problem conditions.
A particle starts from rest at the origin with an acceleration vector that has magnitude 6...
At t=0 s, a particle is observed to have position vector Ro= (-3.5,4.0) m. and velocity vector Vo= (21,12.3) m/s. The particle’s acceleration is constant and has been determined to be a= (2.1,5.4) m/s^2. a)Determine the particle’s velocity (in Cartesian vector form- (Vx,Vy)) at T= 10.5s. b)What is the particle’s position (in Cartesian vector form- (x,y)) at T=10.5 s ?
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 2.0 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and...
A particle initially located at the origin has an acceleration of vector a = 2.00ĵ m/s2 and an initial velocity of vector v i = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 3.00...
A particle initially located at the origin has an acceleration of vector a = 4.00ĵ m/s2 and an initial velocity of vector v i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 9.00...
A car starts from rest and moves around a circular track of radius 32.0 m. Its speed increases at the constant rate of 0.550 m/s2. (a) What is the magnitude of its net linear acceleration 19.0 s later? (b) What angle does this net acceleration vector make with the car's velocity at this time? Question 6 A car starts from rest and moves around a circular track of radius 32.0 m. Its speed increases at the constant rate of 0.550...
A particle starts from the origin (0,0) and moves to position (9,16) in 1.5s. If the particle starts from rest, what is the acceleration in component form of the particle?
A particle starts from the origin at t = 0 with a velocity of (8.3j hat) m/s and moves in the xy plane with a constant acceleration of (3.2i hat + 1j hat) m/s2 . At the instant the x coordinate of the particle is 29 m, A. what is the value of its y coordinate and B. its speed
Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -3.7 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 4.4 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. , m/s 5.1 4,4 2.2 1,7 Questions At t 0.73 s m/s2 m/s, a At t 1.41 5, m/s, a m/s2 m v At t...
The position of a particle of mass m = 0.80 kg as a function of time is given by ⃗r = xˆi + yˆj = (Rsinωt)ˆi + (Rcosωt)ˆj, where R = 4.0 m and ω = 2πs−1. (a) Show that the path of this particle is a circle of radius R, with its center at the origin of the xy plane. (b) Compute the velocity vector. Show that vx/vy = −y/x. (c) Compute the acceleration vector and show that it...