Question

steve took a train 30 miles north to seattle then he took a different train 25 miles east draw a vector diagram showing steves trip including the resultant vector be sure to label all vectors

Answer 1

A = distance traveled by steve in north direction by train = 30 miles

B = distance traveled by steve in east direction by train = 25 miles

R = resultant displacement of the steve relative to starting position

using pythagorean theorem

R = √(A² + B²)

inserting the values

R = √(30² + 25²)

R = 39.05 miles

direction : tan⁻¹(B/A) = tan⁻¹(25/30) = 39.8 deg east of north