# Thread: Power Rules of Derivatives

1. ## Power Rules of Derivatives

I am completely lost, please advice what steps to take?

The motion of an avalanche is described by s(t) = 3t^2, where s is the distance in metres travlled by the leading edge of the avalanche at t seconds.

a) Find the distance travelled from 0 to 5 s

b) find the rate at which the avalanche is moving from 0 s to 10 s

c) find the rate at which the avalanche is moving at 10 s

d) How long, to the nearest second, does the leading edge of the avalanche take to move 600 m?

2. Originally Posted by advancedfunctions2010
I am completely lost, please advice what steps to take?

The motion of an avalanche is described by s(t) = 3t^2, where s is the distance in metres travlled by the leading edge of the avalanche at t seconds.

a) Find the distance travelled from 0 to 5 s

s(5)

b) find the rate at which the avalanche is moving from 0 s to 10 s

v{avg} = [s(10) - s(0)]/(10 - 0)

c) find the rate at which the avalanche is moving at 10 s

v(10) = s'(10)

d) How long, to the nearest second, does the leading edge of the avalanche take to move 600 m?

set s(t) = 600 ... solve for t
...