physics
posted by karan .
A particle moves in a straight line with an acceleration a ms^2 at time 't' seconds where a =  1/t² when t=1 the particle has a velocity of 3ms^1 then find the velocity when t=4

physics 
Damon
dv/dt = 1/t^2
v = (1/t) + c
3 = 1 + c
c = 2
v = (1/t) + 2
if t = 4
v = 2.25
Respond to this Question
Similar Questions

math
Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not … 
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 … 
Calculus
A particle moves along a horizontal line so that at any time t its position is given by x(t)=costt. Time is measured in seconds and x is measured in meters. a.) Find the velocity as a function t. Use your answer to determine the velocity … 
Calculus
A particle moves in a straight line under a force such that its displacement s(t), in metres, at time t seconds, is given by s(t) = t3 − 5t2 + 3t +15 (i) Find the expression for the velocity of the particle. (ii) Find the time … 
Physics
A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the vaxis scale is set by vs = 7.0 m/s. (a) What is the coordinate … 
physics
A body starts with an initial velocity of 10m/s and moves along a straight line with a constant acceleration. When the velocity of the particle becomes 50 m/s the acceleration is reversed in direction without changing magnitude. Find … 
physics
a particle with velocity of 2m/s at t= 0 moves along a straight line with constant acceleration of 0.2m/s2. find the displacement of the particle in 10 seconds 
math
The acceleration am/s^2 of a particle moving in a straight line is given by a = 18t – 4, where t is time in seconds. The initial velocity of the particle is 2 m/s a) Find the expression for velocity in terms of t b) Determine the … 
math
A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is time in seconds. Find (a) The displacement of particle at t = 5 (b) The velocity of the particle when t = … 
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?