A paper airplane is given a push so that it could fly 7 m/s 35 North of East, but there is wind that also pushes it 8 m/s 15 North of East.

1. Use the simulation to solve the problem. How fast could it go and in what direction would it travel?
2. Think about your math tools and design a way to add vectors without the simulation. (Simulation link: https://phet.colorado.edu/sims/html/vector-addition/latest/vector-addition_en.html)
3. Check your design by adding several vectors mathematically and then checking your answers using the simulation.