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?
Added by Jose S.
Your feedback will help us improve your experience
Gregory Higby and 95 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 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.
If a ball is given a push so that it has an initial velocity of 5 $\mathrm{m} / \mathrm{s}$ rolling down a certain inclined plane, then the distance it has rolled after $t$ seconds is $s=5 t+3 t^{2}$ (a) Find the velocity after 2 s. (b) How long does it take for the velocity to reach 35 $\mathrm{m} / \mathrm{s} ?$
Derivatives
Basic Differentiation Formulas
If a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, then the distance it has rolled after t seconds is s = 4t + 2t^2. (a) Find the velocity after 4 s. m/s (b) How long does it take for the velocity to reach 24 m/s?
Adi S.
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