To avoid using the variable "a" which of the following equations should you use?
A) vf^2 = vi + 2a(delta)×
B) vf =vi +at
C) (Delta)x = 1/2(vf +vi)t
D) (Delta)x = Vft-1/2at^2
E) (Delta)x= vit+1/2at^2
To avoid using the variable "a," you should use equation C:
(Delta)x = 1/2(vf +vi)t
To avoid using the variable "a" in the equation, you should use equation C) (Delta)x = 1/2(vf +vi)t. This equation relates the displacement (Delta)x of an object to its initial velocity (vi), final velocity (vf), and time (t), without involving the acceleration (a) variable.
To avoid using the variable "a", you would need to select an equation that does not involve "a" as a variable. Let's review the equations given:
A) vf^2 = vi + 2a(delta)x
This equation clearly involves "a", so it is not the correct choice.
B) vf = vi + at
This equation also includes "a" as a variable, so it is not the correct choice.
C) (Delta)x = 1/2(vf + vi)t
This equation relates the change in position, "delta x", to the initial velocity "vi", final velocity "vf", and time "t". It does not involve "a", so it is a valid option.
D) (Delta)x = vft - 1/2at^2
This equation includes "a" as a variable, so it is not the correct choice.
E) (Delta)x = vit + 1/2at^2
Similar to equation D, this equation includes "a" as a variable, so it is not the correct choice.
Therefore, the correct equation to use to avoid the variable "a" is C) (Delta)x = 1/2(vf + vi)t.