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At Physics State University (PSU), the football team plans all its plays by usin

ID: 2135671 • Letter: A

Question

At Physics State University (PSU), the football team plans all its plays by using vector
notation. For offensive plays, they use At Physics State University (PSU), the football team plans all its plays by using vector
notation. For offensive plays, they use At Physics State University (PSU), the football team plans all its plays by using vector notation. For offensive plays, they use i to denote the the downfield direction (towards the opponent's end-zone) and j to denote the left-hand direction when facing downfield. In a certain play, the receiver starts off at a position ?1.0i ? 3.0j , where units are in yards. The quarterback starts off at 0.0i ? 0.0j . Subsequent displacements of the receiver are 6.0j (motion before the snap), ?15.0i (breaking downfield), followed by a zig-zag pattern consisting of two displacements: 8.0i ? 4.0j and 12.0i ?10.0j . In the meantime, the quarterback drops back by ?7.0i . All units are in yards. What is the final position (in unit vector notation) of the receiver? How far and in what direction must the quarterback throw the ball? (Express your answer in unit vector notation as well as magnitude and angle notation.) Award 1500 points plz give the right answer and process!!

Explanation / Answer

a.) -i - 3j + d1 + d2 + d3 + d4

d1 = 6j

d2 = 15i

d3 8i - 4j

d4= 12i + 10j

dfinal = 34i + 9j

b.) quarter back position = -7i

displacement between two positions = (34i + 9j) - (-7i) = 41i + 9j

magnitude = 41.98yards

tanx = 9/41

x = 12.41 deg from positive i direction

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