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- Convert the following into the metric units indicated. Show your calculations. Round off answers to 2 decimal places. A. A record long jump, 8.90m to feet and inches B. The height of Mt. Kilimanjaro, 5963 m to feet. C. The greatest depth of the ocean about 10, 000 m to feet. D. The volume of one gill, exactly 4 oz to millimeter. E. The displacement of an automobile engine, 316 cubic inches, to liters. F. The estimated volume of the oceans, 330,000,000 cubic miles to cubic kilometers. G. The mass of 65g egg to ounces. H. The mass of 5.0 grain aspirin to milligrams. (1 grain = 0.00229 oz.) I. The mass of a 3525 lb. car to kg.Exam 1.pdf Exam 1 Q1: Which of the following is NOT an SI unit? b. kilogram c. second d. mile a. meter. Q2: Write these values as full decimal numbers (not using scientific notation), in standard SI units without any prefixes, preserving the number of significant figures. a) 630 us. b) 42400 km Q3: A football wide receiver starts from rest and runs straight forward 24.0 meters in 2.80 seconds at a constant acceleration. a) How large was his average velocity? b) How large was his acceleration, in m/s2? c) How long did it take for the wide receiver to travel the first 12.0 meters? Q4: A car is accelerated from rest to a velocity of 75 km/h over a distance of 2500 m. (a) How long did the acceleration last? (b) Calculate the acceleration. Q5: 1) Show that a is perpendicular to b when a =i+j+3k. b= 2i + 7i - 3k 2) Find the angle between c and d when c=i+ 2j + 3k. d = 2i + 4j – 3k.A car has a speed of 150 km/hour and an acceleration of 10100km/hour2a) Calculate its speed in mile/h?b) Calculate its acceleration in meters per square second.Note that 1 mile is 1.60934 km, and detailed calculations forchanging units should be provided.
- Your instructor purchases a drone. He gets out of the roof of a building and flies the drone 140 meters straight west in 30 seconds, and then flies it 260 meters straight south for 120 seconds. He lets it hover stationary for 20 seconds, then flies it another 70 meters straight north in a span of 15 seconds, and finally 50 meters straight west in 12 seconds. 9. Calculate the net displacement from start and report this as a single magnitude and clearly identified direction. 10. What is the magnitude of the helicopter drone's average velocity over this entire excursion?Kyle wanted to find the area of a circle. He measured the radius of the circle as 5.4 cm. Later, the actual radius of the circle was more accurately measured as 5.35 cm. What is the relative error in his area calculation to the nearest thousandth? a. 0.018 b. 0.019 c. 0.020 d. 0.022Name: Thurs., Sept. 03 / Fri., Sept. 04 Problem 3. Use dimensional analysis to determine which of the following is not a valid equation. In these equations, d is distance, v is velocity, t is time, and a is acceleration. Please circle your choice below in the question. a.) d= vt + at b.) v 2 - ļad) at + Please circle your answer here. TR A. Model: What concepts will you need to answer the problem? What assumptions are you making? B. Visualize/Parameterize: Make a sketch of the problem. Identify known and unknown values given in the problem. What equations will you need? Please Show Jour librk C. Solve Remember Formula First D. Assess: Check your units and if your answer is reasonable. Solution.
- clocktower 's dock is to and 3. The minute han d a somoothly accurate ime. three moves long face meters the PUNQID it teeps as How fast is the height off the min te hand decreasing at 12:10? * Carefully explain your reasoning rules that and cite any are used in the process. final differentiation Make sure of gour to units the specify answer, 12 10 2 8. EHint : Draw geo metric import ant variables. Make you know an of want to need. Then what you know to a picture figure ard Of the refevant (abel the 1887 Of ohat a Use need. get what youProcedurePart A: Circles and Ratio of Circumference/Diameter1. Obtain three different sizes of cups, containers, or beakers with circular cross section. Trace around the bottoms to make three large but different-sized circles on a blank sheet of paper. 2. Mark the diameter on each circle by drawing a straight line across the center. Measure each diameter in cm and record the measurements in Table 2.1. Repeat this procedure for each circlefor three times. 3. Measure the circumference of each circle by carefully positioning a string around the object’s base, then mark the place where the string ends meet. Measure the length in cm and record the measurements for each circle in Table 2.1. Repeat the procedure for each circle for three trials. Find the ratio of the circumference of each circle to its diameter. Fill the ratio for each trial in Table 2.1. 4. The ratio of the circumference of a circle to its diameter is known as pi (symbol π), which has a value of about 3.14. Compare your…Express the following in scientific notation and indicate how many significant figures each has. a. 5780.0 b. 0.008401 c. 29.30
- The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help youout8. Below is the table of time and distance traveled by a train Time(min.) Distance (m) 0 0 2 2000 4000 6000 6000 10000 12000 4 6 8 10 12 e. Plot distance against time f. Describe and interpret the graph line Calculate the slope of the line during the first 6 min. and the last 2 min. h. What is the speed between t = 6 min. and t = 8 min.?Convert the following into the new units. Find 9.807 m/sec² (the acceleration of gravity) in miles per hour per second.