A
quarterback ... runs
backward for 15 meters,
=> displacement vector = -15 j
he ... runs sideways parallel to the line of
scrimmage for 12 meters.
=> displacement vector = 12 i
he throws the ball 50 meters
perpendicular to the line of scrimmage
=> displacement vector = 50j
where it is caught by the
receiver.
=> net displacement = -15j + 12i + 50j = 12i + 35j
How far is the football from its original position?
distance ^2 = (12m)^2 + (35m)^2 = 1,369 m^2
=> distance = √ (1,369m^2) = 37 m^2
Answer: 37 m^2
