Question

What are the equations for motion regarding distance, velocity, acceleration. Also, please mention that the equations would be if the object was in free fall

Answer 1

`d=d_0+v_0t+(at^2)/(2)`;
`v=v_0+at`

`y=y_0+v_(0y)t+(gt^2)/(2)`;
`x=x_0+v_(0x)t`

`v_y=v_(0y)+gt`;
`v_x=v_(0x)`

Step-by-step explanation:

The equations of accelerated motion regarding distance, velocity, acceleration are:

`d=d_0+v_0t+(at^2)/(2)`

`v=v_0+at`

If the object were in free fall, these would be (taking the downward direction as positive):

`y=y_0+v_(0y)t+(gt^2)/(2)`

`x=x_0+v_(0x)t`

`v_y=v_(0y)+gt`

`v_x=v_(0x)`

Other equations can also be derived from the original ones, like for example
`v^2=v_0^2+2a(d-d0)`