Afootball player runs directly down the field for 35 m before turning to the right at an angle of 25 degrees from his original direction and running an additional 15 m before getting tackled. what is the magnitude and direction of the runners’ total displacement?

The magnitude of the displacement is 48.97 m and direction is to the right of his original position.

Explanation:

Given values

A distance ran by football player = 35 m

B distance ran additionally = 15 m

θ angle turned by the football player = 25°

Calculating magnitude:

Total displacement is “c” and calculated by

Where,

Now,

and

Total displacement is

C = 49 m

Calculating Direction:

The magnitude of the displacement is 48.97 m and direction is to the right of his original position.

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