phys
posted by physics .
At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration >a = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds.
Determine the position of the particle as a function of time t.
Express your answer in terms of the unit vectors ihat and jhat.

A = 4 i + 3 j
V = integral A dt = 4 t i + 3 t j + initial velocity which is 0
R = integral V dt = 2 t^2 i + (3/2)t^2 j + initial position which is 0
Respond to this Question
Similar Questions

physics
At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration >a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the x component of velocity as a function of time t. Determine … 
calculus
a particle moves along a number line measured in cm so that its position at time t sec is given by s=72/(t+2) +k, k is a constant and t>=0 seconds. (a) Find the instantaneous velocity of the particle at t=4 seconds (b) Find the … 
Physics
A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the … 
Physicscan anyone check my work?
A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the … 
Calculus
The position of a particle moving on a horizontal line is given by s(t)=2t^315t^2+24t5, where s is measured in feet and t in seconds. a: What is the initial position of the particle? 
physics
The position vector r of a particle moving in the xy plane is r=2ti+2sin[(pi/4)t]j , with is in meters and t in seconds. (a) Calculate the x and y components of the particle's position at , and 4.0 s and sketch the particle's path … 
Physics
At t=0 a particle starts from rest at x=0, y=0 and moves in the xy plane with an acceleration a=(4.0i+3.0j)m/s^2. Determine (a) the x and y components of velocity, (b) the speed of the particle, and (c) the position of the particle, … 
math
For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5t)5 . a. when id the particle at rest ? 
math
For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5t)5 . a. when id the particle at rest ? 
Maths
a particle starts from rest at o and moves in a straight line so that t seconds after, its velocity vm/s is given by v=2tt^2. given that particle comes instantanuously at rest at p. Find i) time taken to reach p?