Question

Given the position function, s(t) = t^3/3 - 12t^2/2 +36t, between t = 0 and t = 15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.

0 < t < 6
5 < t < 15
t > 15
The particle always moves to the right.

Answer 1

@Conqueror

Answer 2

hint:
if the particle is moving to the right, then the function \(s(t)\) is an increasing function, namely its first derivative is greater than zero

Answer 3

so it's 0 < t < 6 @Michele_Laino

Answer 4

yes! That's right!

Answer 5

Thank you ;)

Answer 6

:)