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Q 21. Displacement vector is given here.\[r =3.0 t \hat{ i }+2.0 t^{2} \hat{ j }+5.0 \hat{ k }\]The velocity vector will be..(a) \( 3.0 i +4.0 j \)(b) \( 3.0 i +4.0 t j \)(c) \( 3.0 t i +4.0 j \)(d) \( 3.0 t i +4.0 t j \) |
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Answer» Given r = 3.0 t i + 2.0 t2 j + 5.0 differentiating both sides with respect to time t, dr/dt = d/dt(3.0 t i + 2.0 t2 j + 5.0 ) v = 3.0 i + 2x2 t2-1 j + 0 v = 3.0 i + 4 t j Hence option (b) is the correct answer. |
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