# Differential Equations and the position function

• Feb 2nd 2009, 06:42 AM
Mathislife
Differential Equations and the position function
Hey first post eager to get active in this community, but I have a problem.

find the position function x(t) of a moving particle with the givien acceleration a(t), initial position =x(0) and initial velocity= v(0) using the following data.

a(t)=50, initial velocity=10 and initial position=20
• Feb 2nd 2009, 07:10 AM
Mathislife
no replies but i tried it in case someone has the same problem I'll post someone can check it if they have the time.

find the position function x(t) of a moving particle with the givien acceleration a(t), initial position =x(0) and initial velocity= v(0) using the following data.

a(t)=50, initial velocity=10 and initial position=20

since dv/dt=a(t)=50
v(t)=50t+c
v(0)=10 so c=10
v(t)=50t+10

since dx/dt=v(0)=50t+10
x(t)=25t^2+10t+D
x(0)=20 so D=20
x(t)=25t^2+10t+20
• Feb 2nd 2009, 07:54 AM
Opalg
Looks good to me. (Smile)

(Nobody replied because we knew you could do it yourself. (Wink) )