The velocity is the integral of acceleration. If acceleration is 100 m/s^2 then velocity is:
[tex]v= \int\limits^{}_{}100 \, dt=100t [/tex]
So to know the velocity at any time, t, we just put t in seconds into this equation. To know at what time we get to a certain velocity, we set this equation equal to that velocity and solve for t:
[tex]100t = 1000 \\ \\ t= \frac{1000}{100} =10s[/tex]
