Explanation Given: Force F = 〈 12 t + 4 , 8 − 24 t 〉 acts on a 2-kg mass. Calculation: We have F = 〈 12 t + 4 , 8 − 24 t 〉 We know that F = m a = 2 a Comparing both the results we will get 2 a = 〈 12 t + 4 , 8 − 24 t 〉 ð r ' ' ( t ) = a = 〈 6 t + 2 , 4 − 12 t 〉 Integrating we will get r ' ( t ) = v = 〈 3 t 2 + 2 t + c 1 , 4 t − 6 t 2 + c 2 〉 Using initial velocity condition, we will get 〈 2 , 3 〉 = 〈 c 1 , c 2 〉 ð r ' ( t ) = v = 〈 3 t 2 + 2 t +

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Chapter 14, Problem 28CRE

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The position of the mass at t = 2 s if it is located at (4, 6) at t = 0 and has initial velocity (2, 3) in m/s if a force $F = 〈 12 t + 4, 8 - 24 t 〉$ (in newtons) acts on a 2-kg mass.

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Chapter 14, Problem 27CRE

Chapter 14, Problem 29CRE

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Chapter 14 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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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The position of the mass at t = 2 s if it is located at (4, 6) at t = 0 and has initial velocity (2, 3) in m/s if a force F = 〈 12 t + 4 , 8 − 24 t 〉 (in newtons) acts on a 2-kg mass.

Solution Summary: The author calculates the position of the mass at 2 s if it is located at (4, 6) at t = 0 and has initial velocity in m/s.

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The position of the mass at t = 2 s if it is located at (4, 6) at t = 0 and has initial velocity (2, 3) in m/s if a force $F = 〈 12 t + 4, 8 - 24 t 〉$ (in newtons) acts on a 2-kg mass.

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Chapter 14 Solutions

The position of the mass at t = 2 s if it is located at (4, 6) at t = 0 and has initial velocity (2, 3) in m/s if a force F = 〈 12 t + 4 , 8 − 24 t 〉 (in newtons) acts on a 2-kg mass.

Solution Summary: The author calculates the position of the mass at 2 s if it is located at (4, 6) at t = 0 and has initial velocity in m/s.

Concept explainers

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The position of the mass at t = 2 s if it is located at (4, 6) at t = 0 and has initial velocity (2, 3) in m/s if a force F=〈12t+4,8−24t〉 (in newtons) acts on a 2-kg mass.

Want to see the full answer?

Chapter 14 Solutions

The position of the mass at t = 2 s if it is located at (4, 6) at t = 0 and has initial velocity (2, 3) in m/s if a force $F = 〈 12 t + 4, 8 - 24 t 〉$ (in newtons) acts on a 2-kg mass.