I don't understand acceleration....

[Robloxian642]

Homework Statement

The problem says an election is accelerated in a particle accelerator to 200m/s in 3 minutes. What is the electrons acceleration

Relevant Equations

a = vf - vo / t

So the teacher said that acceleration was the rate of change for velocity

so in 3 minutes the velocity of the election needs to go to 200m/s

so i used the formula and I found that every minute the electron needs to accelerate at 66.7m/s2 to reach 200m/s in 3 minutes

and for each second it needs to accelerate at 1.11m/s2 to reach 200m/s in 3 minutes

the answer says that every second it needs to go 6667m/s2, I am very confused please help me

 

[PeroK]

I think that $200m/s$ is a bit slow for a particle accelerator! Maybe check that number.

 

[Robloxian642]

I think that $200m/s$ is a bit slow for a particle accelerator! Maybe check that number.

it says 200m/s on my sheet

 

[PeroK]

it says 200m/s on my sheet

Particle accelerators generally get particles close to the speed of light!

 

[PeroK]

One thing you could do is take the given answer and find the correct speed.

 

[Robloxian642]

It turns out that 3m was actually 3 meters not 3 minutes

 

[r731]

Velocity is change in position per unit time. Change in position is called displacement. An object moves from position x0 to x1 from t0 to t1. Its velocity is $v=\frac{x_1 - x_0}{t_1 - t_0}$. Intuitively, if you take t1 very close to t0, then you get the instantaneous velocity at t0. Take the derivative to find the the instantaneous velocity.

Similarly, acceleration is change in velocity per time $a = \frac{v_1 - v_0}{t_1 - t_0}$. Taking t1 close to t0 gives the instantaneous acceleration at t0.