So I know that the formula for acceleration is m/sec^2, but I need to figure out if you’re accelerating at a constant rate, what your speed would be at a certain amount of time.

For example if you’re in a space ship floating in space with its magical engines off, and you engage the engines so that it immediately moves the ship at a continuous acceleration of 100m/sec^2, and the engines totally disengage at the 100 second mark so it’s no longer accelerating, what will be the speed of the ship coasting in space from that point?

And if the ship were to try to reach light speed (let’s forget about Relativity for this hypothetical math scene), how many seconds does it need to continuously accelerate at 100m/sec^2 before it can reach light speed and shut off its engines to coast at that speed?