 So if we want the acceleration, it's pretty simple, that's just the acceleration due to gravity, and we know it acts downwards. We also know that there are no horizontal acceleration components. Since there's no acceleration in the horizontal direction, and all the acceleration is in the vertical direction, it helps to split the motion up into vertical and horizontal components. So let's consider our vertical throw. Our acceleration, we know is just the acceleration due to gravity. To find our velocity, we can use the fact that our acceleration is equal to the change in velocity over the change in time. So for time t, we know that our change in velocity is equal to g times t. We also know that our change in velocity is equal to our final velocity minus our initial velocity. We can arbitrarily choose our final time to measure, so we can see that at any moment in time, our change in velocity is equal to the velocity at that specific time minus our initial velocity. Rearranging our equations, we can find that our velocity at time t is equal to gt plus initial velocity. So what is our vertical displacement? To find this, we can relate our velocity with our displacement, so v is equal to the change in displacement over the change in time. However, we know that our velocity is dependent on t. It is not a constant. However, we do know that our velocity has a constant acceleration, and so because our velocity is constantly increasing, we can look at the average between the velocity at two moments in time. If our initial velocity is zero and our final velocity is gt, then we know that our average velocity will be equal to gt on two. So to find our displacement at time t, we multiply this by t, and that gives us our displacement of gt squared on two. This equation is one of the classical equations of motion that you may have met previously with the acceleration fixed as small g.