Question

A partir de las ecuaciones a-cte v Vo +a.t V2- vo? +2 a (x-xo) y transformando: a--g, x-y, v- vy, Vo Voy Escribe la ecuación de movimiento para la posición en el eje y Ob y yo - Voy.t-/2 g t?

Answer 1

Transforming the equation $X=X_0+V_{0x}.t+\frac{1}{2}at^2$ into $Y$​​​​​​​-equation,

When the particle is projected from an initial height $Y_0$ with initial velocity  $V_0$ .

The vertical component of initial velocity is $V_{0y}$. The vertical velocity $V_{0y}$ is acting upwards, so it is positive.

The acceleration of the projectile is in the vertical direction and is acting downwards,.

Acceleration in the Y-direction is $a=-g$

The equation of motion for the position on the Y axis is

$Y=Y_0+V_{0y}.t-\frac{1}{2}gt^2$

Answer is $d.\,\,Y=Y_0+V_{0y}.t-\frac{1}{2}gt^2$