Answer: 245 meters
Step-by-step explanation:
Use definite integral to find the position value. Since the derivative of a position function gives you the velocity function, the antiderivative (the integral) should get you the position function from a velocity function. The absolute value is there to prevent any negative values from coming, as can't be a negative distance.
[tex]\int\ {|49-9.8x|} \, dx[/tex] gives you
[tex]4.9*(x-5)*|x-5|[/tex]
Evaluate the function at the limits.
doing so gives 245 meters
