Your dog is running around the grass in your back yard. He undergoes successive displacements 3.30 m south, 8.40 m northeast, and 13.4 m west. What is the magnitude of the dog's resultant displacement? (Take the +x direction to be east.)

A plane flies with the Jet Stream (tailwind) from Chicago to Rome in 9.1 hours, a flight distance of 7740 km. It returns, flying against the Jet Stream (headwind), in 10.8 hours. Calculate the average speed of the plane and the average speed of the wind. Must list assumptions, and draw 1D vector diagram!!! wr M

A student travels along some path. Which of the following statements is true about the total distance travelled by the student and the magnitude of the displacement from their starting position to their ending position? The total distance travelled can be either larger or smaller or equal to the magnitude of the displacement. O The total distance traveled must always be equal to the magnitude of the displacement. O The total distance traveled must be smaller than or equal to the magnitude of the displacement. O The total distance travelled must be larger than or equal to the magnitude of the displacement.

Vectors: a.) Can you find two vectors with different lengths that have a vector sum of zero?Explain your answer in detail. b.) Can the magnitude of an object’s displacement be larger than the distance it hastraveled? What is the condition for them being equal. Explain your answers in detail.

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Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8m/s at an angle of 23 degrees SE from the window (downwards, not upwards). It hits the ground 5s later. a. How far horizontally from the building does the ball land on the ground? b. Find the height that the ball was thrown from

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When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μà 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?

At what initial speed must the basketball player in the figure throw the ball, at angle 0o = 65° above the horizontal, to make the foul shot? The horizontal distances are d₁ = 1.4 ft and d₂ = 14 ft, and the heights are h₁ = 7.0 ft and h₂ = 10 ft. Number i 25.3 Units ft/s h₂