=x+1 is in variable separable form. Separating the variables, we can write it as: (
1
x+1
)dx=dt Integrating both sides, we get: log(x+1)=t+C If the object startsat the origin, then t=0 at x=0. ⇒C=0. ∴ The path of the particle is given by log(x+1)=t. For x=24m,t=log(24+1)=log25=log52=2log5.