Find the Velocity of a Particle That Has the Given $\mathbf { a } ( t ) = 3 \mathbf { k } , \mathbf { v } ( 0 ) = 12 \mathbf { i } - 7 \mathbf { j }$

question 36

Multiple Choice

Find the velocity of a particle that has the given acceleration and the given initial velocity. $\mathbf { a } ( t ) = 3 \mathbf { k } , \mathbf { v } ( 0 ) = 12 \mathbf { i } - 7 \mathbf { j }$

• A) \(\mathbf { v } ( t ) = 12 \mathbf { i } - \mathbf { j } + 3 t \mathbf { k }\)
• B) \(\mathbf { v } ( t ) = 12 \mathbf { i } - 7 \mathbf { j } + t \mathbf { k }\)
• C) \(\mathbf { v } ( t ) = ( 12 t - 9 ) \mathbf { i } + 7 t \mathbf { k }\)
• D) \(\mathbf { v } ( t ) = \mathbf { i } - 7 \mathbf { j } + 3 t \mathbf { k }\)
• E) \(\mathbf { v } ( t ) = 12 \mathbf { i } - 7 \mathbf { j } + 3 t \mathbf { k }\)

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