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Part A and B (7%) Problem 3: A particle\'s position along the x-axis is describe

ID: 1885994 • Letter: P

Question

Part A and B (7%) Problem 3: A particle's position along the x-axis is described by the function where t is in seconds, x is in meters, and the constants A and B are given below. Randomized Variables A -2.6 m/s B-5.2 m/s2 IS ted 50% Part (a) Enter an expression, in terms of A, B, and t, for the velocity of the particle as a function of time. ted- ted 789 4 5 6 12 3 0 Hint Hints:5% deduction per hint. Hints remaining:I Feedback: 0% deduction per feedback. 50% Part (b) At what time, in seconds, is the particle's velocity zero? All coment 2018 Expet TA.I.J.C

Explanation / Answer

position with respect to time is given by

x(t) = At + Bt^2

v = dx/dt

= d(At + Bt^2) / dt

= A + 2Bt

v(t) = A + 2Bt

b) A + 2Bt = 0

t = -A/2B