Thread: 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

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

Looks good to me.

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