An object moves along a coordinate line with acceleration a(t) = (t + 5)^3 units per second per second. The initial velocity is 7 units per second. The velocity function is v(t) = The initial position is 2 units to the right of the origin. The position function is s(t) =
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So, to find the velocity function v(t), we need to integrate the acceleration function a(t) with respect to time. ā«a(t) dt = ā«(t + 5)Ā³ dt = (1/4)(t + 5)ā“ + C We know that the initial velocity is 7 units per second, so when t = 0, v(0) = 7. We can use this to Show moreā¦
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