ch05-p031 - 31. The acceleration vector as a function of...

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22 2 ˆˆ ˆ ˆ [8.00 i 6.00(1.415) j] m/s (8.00 m/s ) i (8.49 m/s )j. a =+ = + G The angle a G makes with + x is 2 11 2 8.49 m/s tan tan 46.7 . 8.00 m/s y a x a a θ −− §· == = ° ¨¸ ©¹ (b) The velocity vector at 1.415 s t = is 2 ˆ ˆ 8.00(1.415) i 3.00(1.415) j m/s (11.3 m/s) i (6.01m/s)j. v ªº = + ¬¼ G Therefore, the angle v G makes with + x is 6.01m/s tan tan 28.0 . 11.3 m/s y v x v v = ° 31. The acceleration vector as a function of time is () ˆ ˆ 8.00 i 3.00 j m/s (8.00 i 6.00 j) m/s .
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