Calculus Question

6. [8.94I12.5 Points] DETAILS | | PREVIOUS ANSWERS SCALCETS 3.3.035.M|. A mass on a spring vibrates horizontally on a smooth level surface [see the gure]. Its equation of motion is X[t) = 4 sinCt], where tis in seconds and X is in centimeters. cquilnm'um position lffl/JH' U .r "I (a) Find the velocity and acceleration at time t. v[t) = 4006? V am = 4 sin: v {in} Find the position, velocity, and acceleration of the mass at time 1' = 27533, 423) = , vt2:)= 2 ., as) = , In what direction is it moving at that time? Since (2%\")