A plane is travelling 10.0 meters per second (this means the plane would travel ten meters in one second, twenty meters in two seconds, thirty meters in three seconds, and so on) north, but then a strong wind of about 15.0 meters per second begins to blow east. (a) Is the speed of the plane equal to, greater than, or less than 25.0 meters per second? (Do not make any calculations.) (b) Explain your reasoning for your answer above. (c) Is the direction of the plane north, east, or somewhere between? (d) [!] If you said somewhere between, write (as an algebraic inequality, if you can) for the angle at which the plane might be travelling once the wind begins to blow.