At Enormous State University (ESU), the football team records itsplays using vec

Question

At Enormous State University (ESU), the football team records itsplays using vector displacements, with the origin taken to be theposition of the ball before the play starts. In a certain passplay, the receiver starts at +2 i^ -5 j^, where the units areyards, i^ is to the right,and j^ is downfield. Subsequentdisplacements of the receiver are +9.0 i^ (in motion before the snap),+11 j^ (breaksdownfield), - 6.0 i^ + 4.0 j^ (zigs), and +12.0 i^ + 18.0 j^ (zags).Meanwhile, the quarterback has dropped straight back to aposition - 7.0 j^. How far must the quarterback throw theball? (Like the coach, you will be well advised to diagram thesituation before solving it numerically.) Express your answer using two significant figures. In which direction must the quarterback throwthe ball? Express your answer using two significant figures.

Explanation / Answer

Plot all displacements relative to the original location of the ball:
rcvr: .. 2i - 5j
mtn: . 9i
dnf: ..... + 11j
zig: . -6i + 4j
zag: .12i + 18j
qbk: ...... - 7j
-----------------------
ttl: ... 17i +21j
that's the distance between the qbk and the rcvr
s = sqrt(17

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