A particle executes the motion described by `x (t)=x_(0) (1-e^(-gamma t)) , t gt =0, x_0 gt 0`. (a) Where does the particle start and with what velocity ? (b) Find maximum and minimum values of ` x (t) , a (t)`. Show that ` x (t) and a (t)` increase with time and ` v(t)` decreases with time.A. `x_(0) and 0`B. `x_(0)gamma` and 0C. `0` and `-x_(0)gamma^(2)`D. `x_(0)(1-e^(-gamma))`

A particle executes the motion described by `x (t)=x_(0) (1-e^(-gamma

1.	A particle executes the motion described by `x (t)=x_(0) (1-e^(-gamma t)) , t gt =0, x_0 gt 0`. (a) Where does the particle start and with what velocity ? (b) Find maximum and minimum values of ` x (t) , a (t)`. Show that ` x (t) and a (t)` increase with time and ` v(t)` decreases with time.A. `x_(0) and 0`B. `x_(0)gamma` and 0C. `0` and `-x_(0)gamma^(2)`D. `x_(0)(1-e^(-gamma))`
Answer» Correct Answer - A `x(t)=x_(0)(1-e^(-gammat))` `v(t)=(dx(t))/(dt)=x_(0)gammae^(-gammat)` `a(t)=(dv(t))/(dt)=-x_(0)gamma^(2)e^(-gammat)`

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