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Vector problem think i have it but just wanted to check

1. The problem statement, all variables and given/known data

in a game of football, a player takes the ball from the line of scrimmage, runs backward a distance of 10 yards, and then runs sideways parallel to the line of scrimmage for 15 yards. at this point, he throws a forward pass 50 yards straight downfield perpendicular to the line of scrimmage. what is the magnitude of the football's resultant displacement?

2. Relevant equations

a2+n2= c2

3. The attempt at a solution

I drew a diagram and got 402+152 and did that out to get the answer as 42.7 yards. did i do this right?
Yes, assuming the question means displacement fro the football's starting point.
42.7 yards is correct.

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