Question: A 100 meter dash is run on a track in the direction of the vector v =3 i +7 j . The wind velocity is

A 100 meter dash is run on a track in the direction of the vectorv=3i+7j

. The wind velocity isw= 5i+j

km/hr. The rules say that a legal wind speed measured in the direction of the dash must not exceed 5 km/hr.

(a) Find the component ofw which is parallel tov. Give an exact answer.

(b) Find the speed of the wind in the direction of the track. Round your answer to two decimal places.

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