The given vector represents a hot air balloon that experiences a 0.25m/s^2 up and 0.25 m/s^2 to the right at 45 degrees. find the magnitude of the resultant

when two vectors are inclined at some angle to each other then the magnitude of resultant of two vectors is given as

here A and B are the magnitude of two vectors and theta is the angle between them

now here we know that two vectors are of magnitude 0.25 m/s^2 each and they are inclined at angle of 45 degree

now we will plug in all data above

A = B = 0.25

So the magnitude of resultant acceleration will be 0.46 m/s^2

good looking response

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me