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03_InstSolManual_PDF_Part7 - 1 v y t 1 1 2 a y t 2 5 1 20.0...

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3.16. Set Up: Use coordinates with the origin at the initial position of the ball and upward. Solve: (a) and its components are sketched in Figure 3.16a. Figure 3.16 (b) so and its components are sketched in Figure 3.16b. 3.17. Set Up: Take upward. Solve: (a) with gives (b) The x component of velocity will be at all times. The y -component, obtained from is at the earlier time and at the later. (c) The magnitude is the same, but the direction is now below the horizontal. 3.18. Set Up: Use coordinates with the origin at the initial position of the stone and downward. The stone has and Solve: (a) Find the vertical distance the rock travels in 4.00 s. (b) (c) The basket descends in 4.00 s so is above the ground when the stone reaches the ground. The stone is a distance from the basket when it hits the ground. 3.19. Set Up: The horizontal displacement when the ball returns to its original height is At its maximum height a y 5 2 g . a x 5 0, g 5 32 ft / s 2 . v y 5 0. R 5 v 0 2 sin 1 2 u 0 2 g . d 5 " x 2 1 y 2 5 " 1 60.0 m 2 2 1 1 78.0 m 2 2 5 98.4 m 158 m 2 80.0 m 5 78.0 m 1 20.0 m / s 21 4.00 s 2 5 80.0 m x 2 x 0 5 v 0 x t 1 1 2 a x t 2 5 1 15.0 m / s 21 4.00 s 2 5 60.0 m y 5 y 0 1 v 0 y t 1
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Unformatted text preview: 1 v y t 1 1 2 a y t 2 5 1 20.0 m / s 21 4.00 s 2 1 1 2 1 9.80 m / s 2 21 4.00 s 2 2 5 158 m v y 5 20.0 m / s. v x 5 15.0 m / s a y 5 2 9.80 m / s 2 . a x 5 0, 1 y 36.9° 30.0 m / s, 2 11.3 m / s 11.3 m / s a y t , v y 5 v y 1 v x 5 24.0 m / s t 5 1 18.0 m / s 2 6 "1 18.0 m / s 2 2 2 2 1 9.80 m / s 2 21 10.0 m 2 9.80 m / s 2 5 0.68 s, 2.99 s y 2 y 5 10.0 m y 2 y 5 v y t 1 1 2 a y t 2 v y 5 v sin u 5 1 30.0 m / s 2 sin 36.9° 5 18.0 m / s v x 5 v cos u 5 1 30.0 m / s 2 cos 36.9° 5 24.0 m / s. a y 5 1 9.80 m / s 2 . a x 5 0, 1 y v S u 5 58.0° tan u 5 v y v x 5 818 m / s 511 m / s , v 5 " v x 2 1 v y 2 5 "1 511 m / s 2 2 1 1 818 m / s 2 2 5 964 m / s ( b ) u v y v x v y x O ( a ) u v y v x v y x O v S v y 5 v sin u 5 1 65.2 m / s 2 sin 51.0° 5 50.7 m / s v x 5 v cos u 5 1 65.2 m / s 2 cos 51.0° 5 41.0 m / s; a y 5 2 9.80 m / s 2 . a x 5 0, 1 y Motion in a Plane 3-7...
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