Bartlett Cross

04/17/2023 · Escuela secundaria superior

WE B A particle moves along a straight line. Its position, \( x \mathrm{~m} \), relative to a fixed point \( O \) on the line is given by \( x=3+2 \sin (3 t) \), where \( t \) is the time in seconds \( (0 \leq t \leq 2 \pi) \). a i Find the particle's greatest distance from \( O \). ii Find the particle's least distance from \( O \). b Find the times at which the particle is 5 m from \( O \). c Find the velocity, \( v \mathrm{~m} / \mathrm{s} \), and acceleration, \( a \mathrm{~m} / \mathrm{s}^{2} \), of the particle at time \( t \) seconds. d Find the maximum speed, and find the times and locations at which this occurs. e Find the maximum magnitude of the acceleration, and find the times and locations at which this occurs. f Describe the motion of the particle.