The vertical motion of mass A is defined by the relation x-10sin(2t) +15cos(2t) + 100, where x and t are expressed in millimeters and seconds, respectively. Determine (a) the position, velocity, and acceleration of A when t 1 s, (b) the maximum velocity and acceleration of A.

Determine the magnitude of the velocity of boat A with respect to boat B. Two boats leave the shore at the same time and travel in the directions shown in (Figure 1). vA = 12 m/s and vg = 19 m/s Express your answer to three significant figures and include the appropriate units. HẢ ? VA/B = Value Units Submit Request Answer Part B Determine the direction angle of the velocity of boat A with respect to boat B, measured counterclockwise from the positive a axis. Express your answer using three significant figures. ΠVα ΑΣφ It vec ? Figure Submit Request Answer Part C How long after leaving the shore will the boats be 760 m apart? Express your answer using three significant figures. \30 Πνα ΑΣφ It vec ? 45° t =

Two Coast Guard patrol boats P₁ and P2 are stationary while monitoring the motion of a surface vessel A. The velocity of A with respect to P₁ is expressed by V₁ = (-18²₁ - 63₁) ft/s VA whereas the acceleration of A, expressed relative to P2, is given by → a₁ = (-2î2 - 33₂) ft/s² A Determine the velocity and the acceleration of A expressed with respect to the land-based component system final answers to four decimal places. Include a minus sign if necessary.) 45° 72% 12 P2 Ĵ1 P₁ 12 aA 11 3) jis VA The acceleration of A expressed with respect to the land-based component system (i, The velocity of A expressed with respect to the land-based component system = is a = 2. + N.> 3). (Round the 2 + ft/s. 3) ft/s².

● A 5 rad/s .2 rad/s² 3 ft X 3 rad/s -2 rad/s² B 2 ft 30⁰ с The robotic arm shown above has a fixed orange base at A and fixed length members AB and BC. Motors at A and B allow for rotational motion at the joints. Based on the angular velocities and accelerations shown at each joint (described with respect to the fixed frame): o Determine the velocity at the end effector at C o Determine the acceleration at the end effector at C