Find the position function $s(t)$ given the velocity function and an initial value.\ v(t) = 20 - \cos t, s(0) = 2\ s(t) =
Added by Carla P.
Close
Step 1
To find the position function s(t), we need to integrate the velocity function with respect to t. ∫v(t) dt = ∫20cos(t) dt Using the integral of cosine, we have: s(t) = 20sin(t) + C Show more…
Show all steps
Your feedback will help us improve your experience
Mukesh Devi and 89 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Khushbu R.
Find the position function s(t) given the velocity function and an initial value v(t) = 35 + cost, s(0) = 3 s(t) =
Linda W.
Find the position function s(t) given the acceleration function and an initial value. The acceleration function is a(t) = 10 - t, the initial velocity is v(0) = 4, and the initial position is s(0) = 0.
Madhur L.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD