Explanation Given Info : Acceleration a ( t ) = t i + 4 j Initial velocity v ( 0 ) = 1 3 i − 2 j Formula Used: Apply the formula for velocity v ( t ) = ∫ a ( t ) d t + C Here, all alphabets are in their usual meanings. Calculation: Apply the formula for velocity v ( t ) = ∫ a ( t ) d t + C v ( t ) = ∫ ( t i + 4 j ) d t + C v ( t ) = t 2 2 i + 4 t j + C − − − − − ( i ) Now, we shall apply given condition for initial velocity in equation (i) to calculated the integral constant ‘C’ 1 3 i − 2 j = v ( 0 ) = 0 i

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.5, Problem 11E

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To calculate velocity $v (t)$ from the given conditions.

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CALCULUS (CLOTH)

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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To calculate velocity v ( t ) from the given conditions.

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To calculate velocity $v (t)$ from the given conditions.

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Chapter 14 Solutions

To calculate velocity v ( t ) from the given conditions.

Solution Summary: The author explains how to calculate velocity v ( t) from the given conditions.

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To calculate velocity v(t) from the given conditions.

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Chapter 14 Solutions

To calculate velocity $v (t)$ from the given conditions.