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At point P moves in a straight line with velocity v ms^{-1} given by v(t)=e^{-t}-8t^{}2e^{-2t} at the time t seconds, where t\geq 0 .

(a) Determine the first time ti , at which P has zero velocity,

(b) (i) Find an expression for the acceleration of P at time t .

(ii) Find the value of the acceleration of P at time t_{_{1}} .

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WHO: et-sť ezt a) Zero Velocity oret [1-stel 1-8 telo 8 tēt Ł: 0.441 seconds (from graph ty. 0.441 secondsalt) dulti dt de l ét_st ezt -ét et - [1steze + 8€ e 2t (-2) =-êt - 16t ezt -16 ťezt c ) a (0.441) 0-441 - 16/0441) e -2/0.44

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