So we know from our displacement equation that is is is zero plus v0 t plus a half a D squared.
OK, we have to wrap that.
So this gives us our position.
It says our position is equal to our initial position.
Plus, our initial velocity times, time plus of acceleration multiplied by time, squared off a projectile
motion, we can use this, we can use this equation, we just need to substitute the appropriate values
properly.
So a projectile
will typically move in the extra direction and in the Y direction.
You can imagine if you throw a stone, it'll move in the direction.
OK.
And it'll also move in the one direction will go up and then it'll come down again under the influence
of gravity.
So our acceleration that'll be G now gravity works.
To the center of earth, so we're going to take that as negative.
And so we consider each direction separately, so let's first look at the X direction, i.e. the horizontal
motion of a projectile.
OK, so horizontally we can say X or expositional is going to be X euro compared with this equation.
And we are going to say that our initial velocity.
Is V0 in the X direction?
OK, multiplied by the.
We don't have any acceleration in the X direction, so that's going to be zero.
So, yes, our displacement in the X direction for a Y direction, we can say that we have our initial
position in the Y.
Plus, now compare that with this V zero and the wind direction multiplied by T, and now I'm going
to substitute minus G minus nine point eight one.
For a so it's going to be minus one over to G d squared, and I can also find a velocity in the right
direction, but just taking the derivative of the position in the X direction so I can say the velocity
in the direction that is going to be all this is a constant.
So that allows you to take the derivative automative that becomes zero sum.
And then we are left with the zero in the Y direction and we are left with minus and I multiply there,
so I get minus G t.
So that is our velocity in the water section.
And so this is a nice application of our equation of motion for projectile motion.