Homework 36: 2D Motion Instructions: Answer the following 20 motion questions. Show your work clearly. Start with a general 91 -. . 1: uptl 1|. 9. ' . '_ - ' .. Writevour final answers with the correct number of significant gures. 1. A farmer wants to fence his fou rsided plot of flat land. He measures the first three sides, shown in the figure as A, B, and C. What is the correct length (in km) and angle 6for the fourth side, D? Write your answer with 3 significant figures. 2. A child running around in a field has the following position and velocity at time t: 0: x: 1.5 m, y:2.0m vx = 3.5 m/s, v, = 1.0 m/s At time t = 2.5 s, it has the following position and velocity: x=2.0m, y= 1.5 m v,. = 0.50 m/s, v, = 2.0 m/s Using this information, find the child's average velocitvr and average acceleration during that time interval. Write your answers in unit vector notation. 3. An object's position as a function of time is given by the following formula: 1"(t) = {(0.25 m/s3)t3 + (15 111)} E + {(0.99 mfsz2 (6.5 m)}j a. What is the xcomponent of the object's average velocity for the interval from t: 0 to t = 3.0 seconds? b. What is the y-component of the objects instantaneous velocity at t = 5.0 s? c. What is the y-com ponent of the objects average acceleration for the interval from t= 0.50 s to t = 2.7 seconds? d. What is the x-component of the object's instantaneous acceleration at t = 1.8 seconds