If a ball is given a push so that it has an initial velocity of 5(m)/(s) down a certian inclined plane, then the distance it has after t seconds is s(t)=5t+3t^(2). (a) Find the velocity after 2sec. (b) How long does it take for the velocity to reach 39(m)/(s) ? (a) v(2)= (m)/(s) (b) t= seconds s(t=5t+3t2 a)Find the velocity after 2 sec. (bHow long does it take for the velocity to reach 39 m/s? av2= m/s bt seconds
Added by Jose Maria P.
Close
Step 1
Step 1: To find the velocity after 2 seconds, we need to find the derivative of the distance function s(t) with respect to time t, which will give us the velocity function v(t). Show more…
Show all steps
Your feedback will help us improve your experience
Gregory Higby and 91 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
If a ball is given a push so that it has an initial velocity of 3 m/s down a certain inclined plane, then the distance it has rolled after T seconds is given by the following equation: s(t) = 3t + 4t^2. A. Find the velocity after two seconds. B. How long does it take for the velocity to reach 40 m/s?
Gregory H.
If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation. s(t) = 6t + 3t2 (a) Find the velocity after 2 seconds. (b) How long does it take for the velocity to reach 40 m/s? (Round your answer to two decimal places.)
Nishant K.
if a ball is given a push so that it has an initial velocity of 5 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation. s(t) = 5t + 2t2 a)find the velocity (in m/s) after 2 seconds b)How long( in seconds) does it take for the velocity to reach 35 m/s?
Ma. Theresa A.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD