What is the solutions of the problems ?
I cant solve this part of the my homework. How we can solve these ?
a)A particle moves along an s axis. Use given information to find the position function of the paticle.
1) a(t)=cost-2t; v(0)=0; s(0)=0
2)a(t)=4cos2t;v(0)=-1;s(0)=-3
I cant solve this part of the my homework. How we can solve these ?
a)A particle moves along an s axis. Use given information to find the position function of the paticle.
1) a(t)=cost-2t; v(0)=0; s(0)=0
2)a(t)=4cos2t;v(0)=-1;s(0)=-3
1 Answer
Please see below.
Explanation:
.
We need to find the velocity function by taking the integral of the acceleration function:
Now, we use the given initial conditions to solve for the constant of integration:
Therefore, our velocity function is:
We take the integral of the velocity function to find the position function:
Now, we use the given initial conditions to solve for
Therefore, our position function is: