8. An ion's position vector is initially f = 5.02 - 6.0j + 2.0k, and 10 s later it is f = -2.0å + 8.0j – 2.0k. In unit vector notation, what is its ûavg during the 10 s?
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- 3. The vector position ofa particle varies in time according to V the expression r = 3.00i – 6.00/j, where r is in meters and I is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the accelera- tion of the particle as a function of time. (c) Calculate the particle's position and velocity at = 1.00 s. 15Y 0 H D A soccer player kicks the ball, which moves as shown in the figure. You are given this information: the angle e and the maximum height H. Calculate the initial speed vo and the horizontal distance D. DATA 0 = angle = 25 degrees; H = 4.4 m; {initial speed} (in m/s) X A: 4.61 OB: 5.76 OC: 7.20 OD: 9.01 OE: 11.26 OF: 14.07 OG: 17.59 OH: 21.99 {horizontal distance) (in m) OA: 33.40 B: 37.74 OC: 42.65 OD: 48.19 OE: 54.46 OF: 61.54 OG: 69.54 OH: 78.588. An ion's position vector is initially f = 5.0i - 6.03 + 2.0k, and 10 s later it is f= -2.02+ 8.03-2.0k. In unit vector notation, what is its Dang during the 10 s? %3D A plane flies 483 km east from city A to city B in 45.0 min and then 966 km south
- 24. A shell is fired with a horizontal velocity in the positive x direction at a speed of 330 m/s from the top of an 80- m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the magnitude of the velocity of the shell as it hits the ground? Hint: you need to determine horizontal and vertical components of the final velocity first, from the kinematic equations, then calculate magnitude of the velocity. While the horizontal velocity remains constant, the vertical velocity does not. You will need time of flight to determine the latter. 80 m 1330 m A) 4.0 m/s B) 9.8 m/s B) 9.8 m/s C) 82 m/s D) 170 m/s (E) 332 m/s6.An object undergoing projectile motion travels 2.50 x 10² m in the horizontal direction before returning to its initial height. Neglect any effects due to air resistance. If the object is thrown initially at a 30.0° angle from the horizontal, determine the x-component vix of the initial velocity. Ui.x = m/s determine the y-component v₁y of the initial velocity. Ui.y = DIL DD m/s Question Source: Freedman College Physics 3e | Publisher: Macmillan
- IXXIU A velocity has magnitude 19 m/s and points downward. For a traditional x-y coordinate system, find the velocity's x and y components. 16. x-component A. 11.21 m/s 0_m/s B. 6.672 m/s 18.1 m/s C. 19.05 m/s 13.88 m/s 1--1 17. y-component -12.44 m/s -19.63 m/s -19_m/s A. -14.33 m/s B. -21.85 m/s C. -25.26_m/s 1--1 DEE D. E. F. D. DEE E. F. MacBook ProQ/ A particle moves in an xy plane according to x(1)= -20.00 + 20.00t - 4.00 and y(t) = 25.00 + 17.00t -19.00², with x and y in meters and t in seconds. At t= 10 s, a. What is the particle velocity vector vì nunit vector notation? b. What is the particle acceleration vector đìn unit vector notation?A car is moving with velocity v as shown. The driver notices a deer ahead then he hits the brake to slow down the car. Which arrow best represents the acceleration vector of the car? O (H) (G) O (F) O (E) ○ (D) (B) ○ (C) O (A) ○ (1) V G. H. B. C. La=0 F D. E.