The motion of a particle along a straight line is described by a function x(t) = 6m + 4(m/s2)t2 - 1(m/s4)t4. (a) find the position, velocity, and acceleration at t = 2s. (b) during what time interval is the velocity positive? (c) during what time interval is x positive? (d) what is the maximum positive velocity attained by the particle?

The motion of a particle along a straight line is described by a function x(t) = 6m + 4(m/s2)t2 - 1(m/s4)t4. (a) find the position, velocity, and acceleration at t = 2s. (b) during what time interval is the velocity positive? (c) during what time interval is x positive? (d) what is the maximum positive velocity attained by the particle?

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Question

The motion of a particle along a straight line is described by a function x(t) = 6m + 4(m/s²)t²- 1(m/s⁴)t⁴. (a) find the position, velocity, and acceleration at t = 2s. (b) during what time interval is the velocity positive? (c) during what time interval is x positive? (d) what is the maximum positive velocity attained by the particle?

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