A particle in an electric and magnetic field is in motion. The time equations are in polar coordinates. r=r_0 e^(−(t/b)) and θ=(t/b) and b are positive constants. 1\Calculate the vector equation of the velocity of the particle. 2\Show that the angle (v_1 ^′ ,u_0 ′) is constant, and find the value. 3\Find the vector of acceleration of the particle. 4\Show that the angle (v_1 ^→ ,u_n ′) is constant, and find it. 5\Calculate the radius of this trajectory.


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Question Number 108042 by Ar Brandon last updated on 14/Aug/20
$A particle in an electric and magnetic field is in motion. The time equations are in polar coordinates. r=r_0 e^(−(t/b)) and θ=(t/b) and b are positive constants. 1\Calculate the vector equation of the velocity of the particle. 2\Show that the angle (v_1 ^′ ,u_0 ′) is constant, and find the value. 3\Find the vector of acceleration of the particle. 4\Show that the angle (v_1 ^→ ,u_n ′) is constant, and find it. 5\Calculate the radius of this trajectory.$
$A particle in an electric and magnetic field is in motion .$ $The time equations are in polar coordinates .$ $r = r_{0} e^{- \frac{t}{b}} and θ = \frac{t}{b} and b are positive constants .$ $1 ∖ Calculate the vector equation of the velocity of the particle .$ $2 ∖ Show that the angle (v_{1}^{^{'}}, u_{0}^{'}) is constant, and find the value .$ $3 ∖ Find the vector of acceleration of the particle .$ $4 ∖ Show that the angle ({\vec{v}}_{1}, u_{n}^{'}) is constant, and find it .$ $5 ∖ Calculate the radius of this trajectory .$
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