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A particle executes the motion described...

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

0

B

`x_(0)`

C

`x_(0)(1-e^(-gamma))`

D

`x_(0)gamma`

Text Solution

Verified by Experts

The correct Answer is:
D
`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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