Help with 2& 4

2) The coordinates of a bird flying in the xy-plane are given by x(t) = at and y(t) = 3.0 m - Bt', where a= 2.4 and B = 1.2 . a) Calculate the velocity and acceleration vectors of the bird as functions of time. * (+)= 2.4myst y() = 3.0m-1.am/say 2 d/ dt ( 2.4myst) = 2.4 my's d/ dt ( 3. 0 m - 1. 2 m/sat 2) = - 2.4m/s= d/All 3 am_ lom =817: b) Calculate the magnitude and direction of the bird's velocity and acceleration at t - 2.0 sec. 3) A daring 510 N swimmer dives off a cliff with a running horizontal leap. a) What must her minimum speed be just as she leaves the top of the ay = 9.81 m / ga cliff, so that she will miss the ledge that is 1.73 m wide and 9.0 m just below her? 9 = 0 + / 2 (9. 81) ( + 2 ) 1. 73 = Vix . 1.35 9 m 9 = -4. 905 +2 1.35 1.35 4 - 4905 4.905 1. 73 m 56 2 = 17. 83 t= 1.35 Vx = 1.28 4) A monkey escapes from the zoo and a zookeeper finds it in a tree. The zookeeper has a tranquilizer gun and is aimed at the monkey. The departure angle (a) is 42 and the distance is 3.00 m. If the initial speed of the dart is 3:00 m 12.0. 3.00 m = 12 0 + /269:81) +2 a) Where would the dart and the monkey intersect