Aparticle moves along a line so that its velocity at time t is v(t) = t2 − t − 20 (measured in meters per second).
(a) find the displacement of the particle during 3 ≤ t ≤ 9.
(b) find the distance traveled during this time period. solution (a) by this equation, the displacement is s(9) − s(3) = 9 v(t) dt 3 = 9 (t2 − t − 20) dt 3

(a)

(b) 78 m

Explanation:

Physics' cinematics as rates of change.

Velocity is defined as the rate of change of the displacement. Acceleration is the rate of change of the velocity.

Knowing that

(a) To find the displacement we need to integrate the velocity

(b) The displacement can be found by evaluating the integral

its a 5.5 n

glad that

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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