Ben starts walking along a path at 4 mi/h. one and a half hours after ben leaves, his sister amanda begins jogging along the same path at 6 mi/h. how long will it be before amanda catches up to ben?

After 3 hours Amanda catch up to Ben.

Explanation:

 Speed of Ben = 4 mi/h

 Speed of Amanda = 6 mi/h

 Time after Amanda starts after Ben leaves = 1.5 hours.

 Let the time taken for them to catch up be t hours.

 Distance traveled by Ben in time (t+1.5) =  4*(t+1.5)

 Distance traveled by Amanda in time t = 6*t

 Equating both the distances

     4*(t+1.5)=  6*t

     2t = 6

       t = 3 hours

    So after 3 hours Amanda catch up to Ben.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation