# Motion in One Dimension

1. Aug 18, 2005

An electron with initial velocity $v_{x}_{o} = 1.0 \times 10^{4}$ meters/sec enters a region where it is electrically accelerated. It emerges with a velocity $v_{x} = 4.0 \times 10^{6}$ meters/sec. What was its acceleration, assumed constant? The accelerated region is 1 cm. So acceleration is defined as $\frac{\Delta v}{\Delta t}$. How would I use the fact that the accelerated region is 1 cm long?

Thanks

2. Aug 18, 2005

### Staff: Mentor

Calculate the time it takes for the electron to traverse that distance. (Hint: What's the average velocity?)

You can also make use of any formulas you may know describing the kinematics of uniformly accelerated motion.

3. Aug 18, 2005

### gaganpreetsingh

use v^2 = u^2 + 2*a*x
where v = final velocity
u = initial velocity
a = acceleration
x = distance.