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 


The answer to this problem is:
This
method of shooting is called <u>“sustained lead”.</u>
<span>This
method of shooting at moving targets requires a bit of experience. Since the
accuracy of hitting the target relies on the estimated amount of lead, this is
useful when the path and speed of the target is steady and known.</span>