An electron with initial velocity v0 = 1.10 × 10^5 m/s enters a region 1.0 cm long where it is electrically accelerated (see the figure). It emerges with velocity v = 5.37 × 10^6 m/s. What is its acceleration, assumed constant?
I am going to use non-relativistic kinematics concepts here although the veleocities are quite high.
You can use the relationships:
From the first we get:
to simplfy let us set:
rearranging and using our values: