1.39 Given two vectors A = -2.00 +3.00 +4.00 and B=3.00 +1.00 -3.00k. (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A - B; and (c) find the magnitude of the vector difference A - B. Is this the same as the magnitude of B - Ä? Explain.

5. The radius of a circle is 5.5 cm. (a) What is the circumference in meters? (b) What is its area in square meters? 6. Using the generic triangle below, solve the following: 0 = 55 and c = 32 m, solve for a and b. a = 250 m and b = 180 m, solve for the angle and c. b=104 cm and c = 65 cm, solve for a and the angle b a 7. Consider the figure below representing the Temperature (T in degrees Celsius) as a function of time t (in seconds) 4 12 20 (a) What is the area under the curve in the figure below? (b) The area under the graph can be calculated using integrals or derivatives? (c) During what interval is the derivative of temperature with respect to time equal to zero?

Part 3: Symbolic Algebra Often problems in science and engineering are done with variables only. Don't let the different letters confuse you. Manipulate them algebraically as though they were numbers. 1. Solve 3x-7= x + 3 for x 2x-1 2. Solve- for x 2+2 In questions 3-11 solve for the required symbol/letter 3. v2 +2a(s-80), a = = 4. B= Ho I 2π r 5. K = kz² 6.xm= MAL ,d= d 7.T, 2 = 8.F=Gm 9. mgh=mv² 10.qV = mu² 80 12. Suppose that the height in meters of a thrown ball after t seconds is given by h =6+4t-t². Complete the square to find the highest point and the time when this happens. 13. Solve by completing the square c₁t² + cat + 3 = 0. 14. Solve for the time t in the following expression = 0 + vot+at²

A blacksmith cools a 1.60 kg chunk of iron, initially at a temperature of 650.0° C, by trickling 30.0°C water over it. All the water boils away, and the iron ends up at a temperature of 120.0° C. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Changes in both temperature and phase. Part A How much water did the blacksmith trickle over the iron? Express your answer with the appropriate units. HÅ mwater = Value 0 ? Units Submit Request Answer

Steel train rails are laid in 13.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is -6.0° C. Part A How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 32.0°C? Express your answer with the appropriate units. ☐ о μΑ ? D = Value Units Submit Previous Answers Request Answer × Incorrect; Try Again; 3 attempts remaining Al Study Tools Looking for some guidance? Let's work through a few related practice questions before you go back to the real thing. This won't impact your score, so stop at anytime and ask for clarification whenever you need it. Ready to give it a try? Start Part B If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is 32.0°C? Express your answer in pascals. Enter positive value if the stress is tensile and negative value if the stress is compressive. F A Ο ΑΣΦ ? Ра

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Part A In an effort to stay awake for an all-night study session, a student makes a cup of coffee by first placing a 200 W electric immersion heater in 0.250 kg of water. How much heat must be added to the water to raise its temperature from 20.5° C to 95.0°C? Express your answer in joules. ΕΠΙ ΑΣΦ Q Submit Request Answer Part B ? J How much time is required? Assume that all of the heater's power goes into heating the water. Express your answer in seconds. VG ΑΣΦ ? t = S

help i dont understand this it should look like something like this picture. help me with the steps

Draw the velocity vectors starting at the black dots and the acceleration vectors including those equal to zero.