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Homework Statement
consider an electron traveling away from the origin along the x-axis in the xy plane with initial velocity vi= viî. As it passes through the region x = 0 to x = d, the electron experiences acceleration a = axî + ayj, where ax and ay are constants. For the case vi = 1.80 ✕ 10^7 m/s, ax = 8.00✕ 10^14 m/s2, and ay = 1.60 ✕ 10^15 m/s2, determine the following, at x = d = 0.0100 m. (a) the position of the electron, (b) the velocity of the electron, (c) the speed of the electron, and (d) the direction of travel of the electron (i.e., the angle between its velocity and the x axis)
Homework Equations
Xf = Xi + Vt + 1/2at2
Vf2= vi2 + 2ax
Vf= Vi + at
The Attempt at a Solution
Vf2 = vi2 +2ax
Vf = sqrt((1.80x10^7)^2 +2(8.00x10^14)(0.01))
Vf = 18×10^6Time taken to reach this velocity:
Vf = vi + at
t = 225s
Therefore y position after 225s
Yf = yi + viyt +1/2at2
yf = 0 + 1/2(1.60×10^5)(225)^2
Yf = 4.05× 10^9
rf = (0.01î + 4.05x10^9j)m
Magnitude = 4.05×10^9m
(b) vfx = 18x10^6î
Vfy= viy +at
Vfy = 0 + (1.60×10^5)(225)
Vfy = 36×10^6j
Vf = (18× 10^6)î + (36x10^6)j
Magnitude = 40.25 ×10^6
Direction tan@ = 36x10^6/18×10^6
@= 63.43 NE
Are these answers right or did I make a mistake