# Question Solved1 AnswerThe function π (π‘)=9β15π‘+8π‘2 describes the distance π  from the origin at time π‘ of an object in rectilinear motion. Find the velocity π£ of the object at any time π‘. The function s(t) = 9 β 15t + 8tΒ² describes the distance s from the origin at time t of an object in rectilinear motion. Find the velocity v of the object at any time t. (Use symbolic notation and fractions where needed.) v(t) = When is the object at rest? (Use symbolic notation and fractions where needed.) t =

VVR21B The Asker Β· Calculus

The function 𝑠(𝑡)=9−15𝑡+8𝑡2 describes the distance 𝑠 from the origin at time 𝑡 of an object in rectilinear motion. Find the velocity 𝑣 of the object at any time 𝑡.

Transcribed Image Text: The function s(t) = 9 β 15t + 8tΒ² describes the distance s from the origin at time t of an object in rectilinear motion. Find the velocity v of the object at any time t. (Use symbolic notation and fractions where needed.) v(t) = When is the object at rest? (Use symbolic notation and fractions where needed.) t =
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Transcribed Image Text: The function s(t) = 9 β 15t + 8tΒ² describes the distance s from the origin at time t of an object in rectilinear motion. Find the velocity v of the object at any time t. (Use symbolic notation and fractions where needed.) v(t) = When is the object at rest? (Use symbolic notation and fractions where needed.) t =
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Sfolution:8(t)=9-15 t+8t^(2)we need to find v(t)." So. "{:[v(t)=(d)/(dt)s(t)],[=(d)/(dt)(9-15 t+8t^(2))],[=(d9)/(dt)-15(dt)/(dt)+8(d)/(dt)t^(2)],[=0-15(1)+8(2t)quad(:'(d)/(dx)" constant "=0:}], ... See the full answer