Answer to Question #1228 in Mechanics | Relativity for kayna

Question

An electron starts at rest. Gravity accelerates the electron in the negative y direction at 9.80 m/s2 while an electric field accelerates it in the positive x direction at 3.80×106 m/s2. Find its velocity 2.45 s after it starts to move.

Answer 1

As two given accelerations are directed oppositely, the net acceleration is
a = 3.8 x 10⁶ - 9.8 = 3.8 x 10⁶ (the gravity acceleration can be neglected)
From the equations of the motion:
v= v0 +at = 0 + 3.8x10⁶*2.45 = 9.31x10⁶ m/s.