An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She completed the trip in 2 hr: 5 min : 8 s. What was the magnitude of her average velocity over the entire trip in m/s? Express your answer in metres/second to two decimal places (do not include units in your answer).
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- A truck travels due east for a distance of 1.2 km, turns around and goes due west for 7.2 km, and finally turns around again and travels 2.6 km due east.(a) What is the total distance (in km) that the truck travels? (Enter a number.)______km(b) What are the magnitude (in km) and direction of the truck's displacement? (Enter a number.)magnitude_______kmdirection (a)east (b)west (c)neithera. enter a symbolic expression for the average acceleration vector of the car during the given time period in terms of the problem and standard unit vectors.b. What is the magnitude, in meters per squared second, of the car's acceleration during the given time period.A car has acceleration of 4 m/s2 and starts from 1.8 m/s. What is its speed after 7.4 seconds, in m/s? Represent your answer with 3 significant figures. (Your answer should NOT have any sign nor unit, the SI unit is already given in the problem statement.)
- A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.90 s. Then security agents appear, and the man runs as fast as he can back along the sidewalk to his starting point, taking 11.4 s. What is the ratio of the man's running speed to the sidewalk's speed? Number i Units This answer has no units + eTextbook and Media Hint Attempts: 4 of 8 used Submit Answer Save for Later1d. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x= y=1/3 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle, which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.
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- Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known distance runners. In 1907, he set a new Boston Marathon record, beating all of the previous decade's champions by almost 5 minutes! If he ran the 39.2 km course in 2 hours, 24 minutes and 24 seconds, what was his speed? HINT: we'll need our units to be metres per second - what do you need to convert in the question? 0.221 m/s O 0.272 m/s O 4.52 m/s O 17.5 m/sPls help ASAPThe velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.