Question

The acceleration of a particle at time $t$ is given by $a(t) = 8\sin(t) + 3\cos(t)$.\newline If $s(0) = 0$ and $v(0) = 6$, find the position function for the particle.\newline $s(t) = $

Name: The acceleration of a particle at time t is given by a(t) = 8sin(t) + 3cos(t).If s(0) = 0 and v(0) = 6, find the position function for the particle.s(t) =
Uploaded: 2022-08-01T18:29:53-08:00
Duration: 3 min 1 s
Channel: Adi S
Description: The acceleration of a particle at time t is given by a(t) = 8sin(t) + 3cos(t).If s(0) = 0 and v(0) = 6, find the position function for the particle.s(t) =

          The acceleration of a particle at time $t$ is given by $a(t) = 8\sin(t) + 3\cos(t)$.\newline If $s(0) = 0$ and $v(0) = 6$, find the position function for the particle.\newline $s(t) = $

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Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

08/01/2022

Step 1

We are given the acceleration function a(t) = 8sin(t) + 3cos(t). To find the velocity function v(t), we need to integrate a(t) with respect to t. ∫a(t) dt = ∫(8sin(t) + 3cos(t)) dt = -8cos(t) + 3sin(t) + C1 Show more…

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The acceleration of a particle at time t is given by a(t)=8sin(t)+3cos(t). If s(0)=0 and v(0)=6, find the position function for the particle. s(t)= The acceleration of a particle at time t is given by at)=8sint)+3cos(t) If s0=0 and v=6, find the position function for the particle. s(t)