What causes differences in air temperatures at different altitudes?
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To solve this problem we will use the given expression and derive it in order to find the algebraic expressions of velocity and position. These equations will be similar to those already known in the cinematic movement but will be subject to the previously given function. We start deriving the equation for velocity
Integrate acceleration equation
At
Replacing,
Therefore the value of the first Constant is
The expression can be escribed as,
Calculate the velocity after 6s,
Now using the same expression we can derive the equation for distance
At t=0, x=0
Therefore the value of the second constant is
Calculate the distance traveled after 11 s
At