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

grav potential energy