Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)=−54, v(0)=50, and s(0)=30 v(t)=
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Step 1
Since a(t) = -54, we have: v(t) = ∫(-54) dt = -54t + C Now, we need to find the constant C using the initial velocity v(0) = 50. v(0) = -54(0) + C = 50 C = 50 So, the velocity function is: v(t) = -54t + 50 Show more…
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