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4 - Exe rcises 1(a v =(6t – 2 i – 3t 2 j = 10i – 12 j...

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Unformatted text preview: Exe rcises 1. (a) v = (6t – 2) i – 3t 2 j = 10i – 12 j m / s; (b) a = 6i – 6tj = 6i – 24 j m / s 2 , (c) a a v = 6i –12 j m / s 2 . 2. (a) 0.5i – 1.5 j + 2k m / s; (b) v 1 = v 2 – a Δ t = 40i – 10 j – 2k m / s 4. (a) 350 m; (b) 250 m, 37° N of E; (c) 10 m / s, 37° N of E; (d) 14 m / s ; (e) a av = (10 j – 20i ) / 25 = –0.8i + 0.4 j m / s 2 10. From Example 4.2 : sin 2 θ = R g / v 2 thus θ = 31.4° or 58.6° 26. (a) v x = 20 m/s, v o y = 25.4 m / s so v = 32.3 m / s and θ = 51.8° Then, R = v 2 sin 2 θ / g = 104 m; (b) H = v o y 2 / 2g = 32.9 m 31. (a) and (b) x = 200 = (50 cos 30°)t, so t = 4.62 s. Using this t in y = 50 sin 30° t – 4.9t 2 = 10.9 m. It would hit the wall. (b) v y = 25 – g(4.62) = –20.3 m / s. tan θ = v y / v x so θ = 25.1° below the horizontal. 40. With r = 35,800 + 6400 = 42,200 km, and T = 24 × 3600 s, a = 0.223 m / s 2 44. 44. v 2 = a r leads to v = 19.4 m / s 48. (a) v BA = v B – v A = –3i + 4 j m / s (b) v...
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4 - Exe rcises 1(a v =(6t – 2 i – 3t 2 j = 10i – 12 j...

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