Acceleration in function of time and distance

sinnet3000

Here is something that has got me confused a lot of times.

Suppose I have a distance of 11m and a time of 5 seconds and I want to know acceleration.

I would say that [itex] a = v / t[/itex] and [itex] v = d / t [/itex] so I could plug the second equation to the first equation having: [itex]a = d / t^2[/itex]

Therefore I have [itex] a = 11 / 5^2m/s^2[/itex] but that is the wrong answer.

We also have [itex]x=x_0+v_0 t+1/2 at^2[/itex] so: [itex] a = 2d / t^2 [/itex] which in that case is [itex] a = 2(11) / 5^2 [/itex] and this is right.

But why is the reason that distance should be the double of it?? Can someone explain me please??

Thank you

Curl

acceleration is not v/t and velocity is not d/t you got these wrong. Go back to the definition.

haruspex

In case it's not clear, Curl is telling you a = v/t is only true for constant acceleration, and where v is a change in speed and t the time over which it happened. Similarly v = d/t is for constant speed etc. Since you have acceleration, the second is definitely not valid.

Naty1

We also have x=x₀ +v₀ t+1/2at²

IS a correct equation....in this case, however, the nomenclature looks a bit different from those explained in the previous post. You always need to consider the applicability of an equation you wish to use against the conditions in the problem you are solving...in this equation
x₀ is a fixed initial distance; v₀ is a constant velocity and a is a constant acceleration....[it's potentially confusing when two of the constants have a subscript yet acceleration doesn't even though it is also a [fixed] constant.]

sinnet3000

Thank you guys