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What Force Is Required So That a Particle of Mass mm

Question 3

Multiple Choice

What force is required so that a particle of mass mm has the following position function?. r(t) =5t3i+10t2j+7t3kr ( t ) = 5 t ^ { 3 } \mathbf { i } + 10 t ^ { 2 } \mathbf { j } + 7 t ^ { 3 } \mathbf { k }


A) F(t) =30 mti+20 mj+42 mtk\mathrm { F } ( t ) = 30 \mathrm {~m} t \mathbf { i } + 20 \mathrm {~m} \mathbf { j } + 42 \mathrm {~m} t \mathbf { k }
B) F(t) =30mt2i+20mj+42mtk\mathrm { F } ( t ) = 30 m t ^ { 2 } \mathbf { i } + 20 m \mathbf { j } + 42 m t \mathbf { k }
C) F(t) =42mti+42mj+20mtk\mathrm { F } ( t ) = 42 m t \mathbf { i } + 42 m \mathbf { j } + 20 m t \mathbf { k }
D) F(t) =mt2i+5mtj+10mt2k\mathrm { F } ( t ) = m t ^ { 2 } \mathbf { i } + 5 m t \mathbf { j } + 10 m t ^ { 2 } \mathbf { k }
E) F(t) =30mti+20mj+tk\mathrm { F } ( t ) = 30 m t \mathbf { i } + 20 m \mathbf { j } + t \mathbf { k }

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