Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 48° with respect to the 50-yard line (the +x-axis) and covers 7.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line (that is, in the +y-direction) for 23 m, with an elapsed time of 3.7 s. (Express your answers in vector form.) (a) What is Matthews's final displacement (in m) from the start of the play? Ar = 4.68i – 28.2j x m - (b) What is his average velocity (in m/s)? V ayg 6.38 X m/s %D

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Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 48° with respect to the 50-yard line (the +x-axis) and covers
7.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line (that is, in the +y-direction) for 23 m, with an elapsed time of 3.7 s. (Express your answers in vector form.)
(a) What is Matthews's final displacement (in m) from the start of the play?
Ar =
4.68i – 28.2j x m
-
(b) What is his average velocity (in m/s)?
V
ayg
6.38
X m/s
%D
Transcribed Image Text:Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 48° with respect to the 50-yard line (the +x-axis) and covers 7.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line (that is, in the +y-direction) for 23 m, with an elapsed time of 3.7 s. (Express your answers in vector form.) (a) What is Matthews's final displacement (in m) from the start of the play? Ar = 4.68i – 28.2j x m - (b) What is his average velocity (in m/s)? V ayg 6.38 X m/s %D
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