Please carefully take your time to do these PCS211 questions about "Motion in 2D: Kinematics"!

3. [-/4 Points] DETAILS SERPSE10 4.2.P.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The vector position of a particle varies in time according to the expression r = 3.20 i - 7.60t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) V = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) a = m/s2 (c) Calculate the particle's position and velocity at t = 2.00 s. m m/s4. [-/6 Points] DETAILS SERPSE10 4.2.OP.005.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A fish swimming in a horizontal plane has velocity v, = (4.00 i + 1.00 j) m/s at a point in the ocean where the position relative to a certain rock is I, = (16.0 i - 3.60 j) m. After the fish swims with constant acceleration for 19.0 s, its velocity is v = (21.0 i - 3.00 j) m/s. (a) What are the components of the acceleration of the fish? ax m/s2 av m/s2 (b) What is the direction of its acceleration with respect to unit vector i? . counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it at t = 28.0 s? X = m y = m In what direction is it moving? counterclockwise from the +x-axisChildren playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 5.40 m above the parking lot, and the school building's vertical wall is h : 6.80 rn high, forming a 1.40 rn high railing around the playground. The ball is launched at an angle of i9 : 53.0\" above the horizontal at a point 0' : 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (Due to the nature of this problem, do not use rounded intermediate values in your calculationsiincluding answers submitted in WebAssign.) (a) Find the speed (in m/s) at which the ball was launched rn/s (b) Find the vertica distance (in m) by which the ball clears the wall. in (c) Find the horizontal distance (in m) from the wall to the point on the roof where the ball lands. rn (d) What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2(9) = 1 + tan2(9) ) 9 above the horizontal (e) What would be the horizontal distance (in rn) from the wall to the point on the roof where the ball lands in this case.7 m 14. [-/4 Points] DETAILS SERPSE10 4.5.P.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Can a particle moving with instantaneous speed 4.00 m/s on a path with radius of curvature 5.00 m have an acceleration of magnitude 4.00 m/s2? O Yes O No If the answer is yes, explain how it can happen; if the answer is no, explain why not. This answer has not been graded yet. (b) Can it have an acceleration of magnitude 1.00 m/s? O Yes O No If the answer is yes, explain how it can happen; if the answer is no, explain why not. This answer has not been graded yet.17. [-/3 Points] DETAILS SERPSE10 4.A.OP.036.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A hawk is flying horizontally at 24.0 m/s in a straight line, 245 m above the ground. A mouse it has been carrying struggles free from its talons. The hawk continues on its path at the same speed for 2.00 s before attempting to retrieve its prey. To accomplish the retrieval, it dives in a straight line at constant speed and recaptures the mouse 6.00 m above the ground. (a) Assuming no air resistance acts on the mouse, find the diving speed of the hawk. m/s (b) What angle did the hawk make with the horizontal during its descent? (below the horizontal) (c) For what time interval did the mouse experience free fall? S Need Help? Read It Master It