Multiple ChoiceAt point A, a hiker is 10m east from the origin. After 35s, the hiker arrives at point B 40m at 60° north of east from the origin. Calculate the magnitude and direction of the hiker's displacement.1230views18rank4comments
Multiple ChoiceThree footballs are punted into the air at 32m/s. Ball A has a launch angle of 34°, Ball B has a launch angle of 41°, Ball C has a launch angle of 57°. Which ball has the longest hang time? In other words, which ball is in the air for the longest time?334views
Textbook Question(II) Graphically determine the resultant of the following three vector displacements: (3) 26 m, 33° west of south.237views
Textbook Question(II) An airplane is traveling 815 km/h in a direction 41.5° west of north (Fig. 3–40). (b) How far north and how far west has the plane traveled after 1.75 h? <IMAGE>187views
Textbook Question(I) A delivery truck travels 21 blocks north, 16 blocks east, and 26 blocks south. What is its final displacement from the origin? Assume the blocks are equal length.431views
Textbook QuestionThe coordinates of a bird flying in the xy-plane are given by x(t) = αt and y(t) = 3.0 m − βt2, where α = 2.4 m/s and β = 1.2 m/s2. (a) Sketch the path of the bird between t = 0 and t = 2.0 s.556views
Textbook QuestionThe position of a squirrel running in a park is given by r = [(0.280 m/s)t + (0.0360 m/s2)t2]î + (0.0190 m/s3)t3ĵ. (b) At t = 5.00 s, how far is the squirrel from its initial position?2006views
Textbook QuestionA particle's trajectory is described by x = (1/2t^2 - 2t^2)m and y = (1/2 t^2-2t)m, where t is in s. (a) What are the particle's position and speed at t = 0 s and t = 4s?697views1rank
Textbook QuestionA particle moving in the xy-plane has velocity v = (2ti + (3-t^2)j) m/s, where t is in s. What is the particle's acceleration vector at t = 4s?2012views
Textbook QuestionA spaceship maneuvering near Planet Zeta is located at r = ( 600î ─ 400ĵ + 200k ) X 10³ km, relative to the planet, and traveling at v = 9500î m/s. It turns on its thruster engine and accelerates with a = ( 40î ─ 20k ) m/s² for 35 min. What is the spaceship's position when the engine shuts off? Give your answer as a position vector measured in km.623views
Textbook QuestionYou have a remot-controlled car that has been programmed to have velocity v = (3ti + 2t^2j) m/s, where t is in s. At t = 0 s, the car is at r0 = (3.0i + 2.0j) m. What are the car's (a) position vector475views
Textbook QuestionScientists design a new particle accelerator in which protons (mass 1.7 X 10^-27 kg) follow a circular trajectory given by r = c cos (kt^2) î + c sin (kt^2) ĵ, where c = 5.0 m and k = 8.0 x 10^4 rad/s^2 are constants and t is the elapsed time. a. What is the radius of the circle?589views
Textbook QuestionCALC A 100 g bead slides along a frictionless wire with the parabolic shape y = (2m⁻¹) x^2. a. Find an expression for aᵧ, the vertical component of acceleration, in terms of x, vₓ, and aₓ. Hint: Use the basic definitions of velocity and acceleration.478views
Textbook QuestionA plumber steps out of his truck, walks 55 m east and 38 m south, and then takes an elevator 12 m into the subbasement of a building where a bad leak is occurring. What is the displacement of the plumber relative to his truck? Give your answer in components. Also give the magnitude and angles, with respect to the 𝓍 axis, in the vertical and horizontal planes. Assume 𝓍 is east, y is north, and 𝒵 is up.212views
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