12.13. A toy car travels clockwise in a semi-circular path of radius r =3.0m at a constant speed of |||| = 4.8 m/s . | A t=0s a. Since the car always moves with constant speed, then what is the car's instantaneous speed at any particular time, for instance at 1s? b. Find the instantaneous velocity vector at points A, B, C. Write your answer in terms of ANS: AtC: 4.71 0.67] 13.12. a. What is the equation that relates the instantaneous velocity at time t = t; to the average velocity fromt = t, tot = t,. Explain what the symbol = means in your answere. b. In the lecture notes you see the following picture. What is this picture trying to show us? Give your answer as a short sentence. y Q Notifications @ [(3]s7e3 2:29AM Tue Mar 12 y XS Ao { Back YA (o a Ao R LRI Oy N c. What are the 3 steps to drawing an instantaneous velocity vector at a point on the path? d. Whatis the rule for drawing the average velocity from the timest = t, tot = t,? HELP: See page 14 of notes. 14.12.The path of a moving object is given by the two equations x=t1 y=t?+ 10t 18 where x, y are in meters and t is in seconds. a. Compute the postion vector at t = 3s and t = 5s. Give your answer as components x,y b. Find the average velocity from t; = 3s to t = 5s. Give your answer as components Vavg,x Vavg,y c. Find the instantaneous velocity at t; = 3s by computing the average velocity from t; = 3s and t, = 3s + 0.1s as an approximation. Give your answer as components Vy, Uy d. Use what you said in problem #13 to draw the four vectors below on the graph i. position vectoratt; = 3s ii. position vectoratt; = 5s iii. average velocity fromt; = 3stot = 5s v. instantaneous velocity at t; = 3s y[m] 15.C. IDEA: horizontal and vertical vectors are different and simpler than most general vectors that look diagonal. A. The velocity vector seen below has ||7]| = 10 m/s Is it vertical or hoirizontal? Find its components v, and v, True or false: We can write symbolically v, = ||7/]| Q Notifications 2:29 AM Tue Mar 12 (1] = 100% [4%3) Q=T 2ag HCHW Ch 3 (18).pdf OV AN} B. The acceleration vector seen below has ||d|| = 4 m/s? _ Is it vertical or hoirizontal? Find its components a, and a,, True or false: We can write symbolically a,, = ||a|| C. Suppose A reprsents any horizontal vector. A can be position, displacement, velocity or acceleration. True or fasle: 4, =0 Explain with a short sentence under what circumstances A, = \"/T\" versus A, = "[T\" D. The velocity vector seen below has ||#]| =5 m/s Is it vertical or hoirizontal? Find its components v, and v,, . 5 - True or false: We can write symbolically v), = || 7| E. The acceleration vector seen below has ||d|| = 3m/s? Is it vertical or hoirizontal? Find its components a, and a,, True or false: We can write symbolically a,, = |lall F. Suppose A reprsents any vertical vecto. A can be position, displacement, velocity or acceleration. True or fasle: A, =0 - - G. Explain with a short sentence under what circumstances A,, = ||A|| versus A, = ||A|| H. Seen below is a generic vector A Canwe say it is a horizontal or vertical vectoir? Yes. or no? } 4 { 1 18 i 4 4 { 4 4 Find 4| o 1 Explain using a short sentence why we can NOT 11 L1 | 1 say that 4, = ||,Zf|| and 4, = |||| In other ! L | . words, write a symbolic formula that correctly L1 1 g 1 ! relates the three quantities A, A, and ||/T|| (L], L1 HELP: Pythagorean Theorem. 4 s 1