Answer
11.7 N
Work Step by Step
Looking at the graphs, in graph 1 we see that the Vx goes from 2m/s at t = 0 to 5 m/s at t = 1. This means that the acceleration is 3 $m/s^2$ in the positive a direction.
In the second graph, the Vy goes from 2 m/s at t = 0 to -3 m/s at t = 1. Therefore, the acceleration is 5 $m/s^2$ in the negative y direction.
The package weighs 2kg and F = ma so writing a in vector notation we have
a = ($3 m/s^2$)i + ($-5m/s^2$)j and then
F = ($6 N$)i + ($-10 N$)j
To find the magnitude we take $\sqrt (x^2 + y^2) = \sqrt (6^2 + (-10)^2) = \sqrt(136) $ This is about 11.7 N
