Question

Drag each tile to the correct box. Not all tiles will be used

Arrange the equations in the correct sequence to rewrite the formula for displacement.

Answer 1

`(2(vt-d))/(t^2)=a`

Explanation:

Expression to calculate the displacement 'd' is,

d = vt -
`(1)/(2)at^(2)`

By subtracting vt from both the sides of the equation.

d - vt = -
`(1)/(2)at^2`

vt - d =
`(1)/(2)at^(2)` --------(1)

Multiplying with 2 on both the sides of the equation,

2(vt - d) = at² --------(2)

Dividing by 't²' on both the sides of the equation,

`(2(vt-d))/(t^2)=(at^2)/(t^2)`

`(2(vt-d))/(t^2)=a` --------(3)

Therefore, expression to calculate the acceleration 'a' will be

`(2(vt-d))/(t^2)=a`