Use the Given Acceleration Function and Initial Conditions to Find

question 47

Multiple Choice

Use the given acceleration function and initial conditions to find the position at time t = 1. $$\mathbf { a } ( t ) = 10 \mathbf { i } + 6 \mathbf { j } + 8 \mathbf { k } , \quad \mathbf { v } ( 0 ) = \mathbf { 0 } , \quad \mathbf { r } ( 0 ) = 5 \mathbf { j }$$

• A) \(\mathbf { r } ( 1 ) = 11 \mathbf { i } + 8 \mathbf { j } + 4 \mathbf { k }\)
• B) \(\mathbf { r } ( 1 ) = 5 \mathbf { i } + 4 \mathbf { j } - 4 \mathbf { k }\)
• C) \(\mathbf { r } ( 1 ) = 5 \mathbf { i } + 8 \mathbf { j } + 4 \mathbf { k }\)
• D) \(\mathbf { r } ( 1 ) = 5 \mathbf { i } + 8 \mathbf { j } - 4 \mathbf { k }\)
• E) \(\mathbf { r } ( 1 ) = 5 \mathbf { i } + 8 \mathbf { j } + 9 \mathbf { k }\)

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The total amount of interest that will be incurred over the lifetime of a debt.

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The actuarial present value of benefits attributed by the pension plan formula to employee service during the period.

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