(5%) Problem 4: A particle\'s position along the x-axis is described by the func
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(5%) Problem 4: A particle's position along the x-axis is described by the function x(t) = A t + B t2, whcte is i sodt d aegbelow Randomized Variables A=-2.8 m/s B=5.5 m/s2 50% Part (a) Enter an expression, in terms of A, B, and t, for the velocity of the particle as a function of time. v()28+11 t TI78 9 HOME 1 2 3 0 END tOBACKSPACE DECLEAR Submit I give up! Hints: 1 for a 0% deduction. Hints remaining: Feedback: 0% deduction per feedback. -The velocity is the derivative of position with respect to time. 50% Part (b) At what time, in seconds, is the particle's velocity zero?Explanation / Answer
a)
x(t) = At + Bt^2
differentiating with respect to t
v(t) = A + B*2t
v(t) = -2.8 + (2*5.5)t
v(t) = -2.8 + 11t
b)
At, v(t) = 0,
-2.8 + 11t = 0
11t = 2.8
t = 2.8/11
t = 0.2545 s
At time 0.2545 s particle velocity will be zero.
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