The motion of a jet plane just after landing on a runway is described by the ( v – t ) graph. Construct the ( s – t ) and ( a – t ) graphs for the motion. Here ( s = 0 ), when ( t = 0 ). v (R/) v= 300 V--15t²+ 45 t 300 V=-15t+ 600 t (s) 40 10
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- as a person drives along the highway, they decided to measure the distance between each light post.the person driving at a steady 60.0 mph and it takes , on average 4.00s to go from one light post to the next light postFor a short time, the speed v of a car, in m / s, is given by v = at2 + bt3, where t is the time in seconds. The units of a and b are, respectively, a) m/s^2; m/s^3 b) m/s^4; m/s^5 c) s^3/m; s^4/m d) m.s^2; m.s^4 e) m/s^3; m/s^4A girl delivering newspapers covers her route by traveling 5.00 blocks west, 4.00 blocks north, and then 4.00 blocks east. (a) What is her resultant displacement? Your response differs from the correct answer by more than 10%. Double check your calculations. blocks
- Tutorial Exercise A soccer ball is kicked from 2 feet above the ground. The height, h, in feet of the ball after t seconds is given by the function h = -16t2 + 64t + 2. (a) Graph the function. (b) At what time(s) is the height of the ball 50 feet? Step 1 Create a table of values for the function. [AlgUns.0386] The height function is h = -16t2 + 64t + 2. Create a table of values for the ordered pairs of the form (t, h). th = -16t² + 64t + 2 %3D 1 2 4 Submit Skip (you cannot come back)During 55 successive 1.001.00 min intervals, a runner moves at the following constant speeds: 0.4000.400 km/min, 0.2000.200 km/min, 0.1100.110 km/min, 0.1100.110 km/min, and 0.3600.360 km/min. a.) Find the total distance traveled. b.) Find the average speed.5. When 12 times a number is added to the square of that number, the result is ‒32. Determine the two numbers that fit this condition. Answer step-by-steps. 6. A cannonball is fired from ground level on an arc described by h = ‒t2 + 8t, where h = the height in metres and t is the time in seconds. How many seconds after firing will it land? Answer step-by-steps.
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- If you want to go by train from Los Angeles to New York, you must make a stop. First, you musttravel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45◦ North of Eastto reach New York.(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick markshould represent 300 miles.(b) If you flew directly from Los Angeles to New York, how far would the flight be? Please show your workHow many significant figures does each of the following numbers have?a. 6.21 b. 62.1c. 0.620 d. 0.062You live 5.7 miles from school. How many meters away from school do you live? Hint - You must convert miles to feet then feet to meters.