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A particle moves with equation of motion f(t) = 40t − 3t2. Find the velocity of the object when t = 4.

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Answer to a math question A particle moves with equation of motion f(t) = 40t − 3t2. Find the velocity of the object when t = 4.

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Velda
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107 Answers
1. Find the expression for the velocity by taking the derivative of the position function f(t):
v(t) = \frac{d}{dt} (40t - 3t^2) = 40 - 6t
2. Substitute t = 4 into the velocity function:
v(4) = 40 - 6(4) = 40 - 24 = 16

Therefore, the velocity of the object at t = 4 is v(4) = 16.

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