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 (in m/s) after 2 seconds. m/s (b) How long (in seconds) does it take for the velocity to reach 35 m/s? (Round your answer to two decimal places.)

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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 (in m/s) after 2 seconds.
m/s
(b) How long (in seconds) does it take for the velocity to reach 35 m/s? (Round your answer to two decimal places.)
S
Transcribed Image Text: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 (in m/s) after 2 seconds. m/s (b) How long (in seconds) does it take for the velocity to reach 35 m/s? (Round your answer to two decimal places.) S
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