Question

20 Points please help me












A baseball player runs 27.4 meters from the batter's

box to first base, overruns first base by 3.0 meters,

and then returns to first base. How does the total

distance traveled by the player compare to the

magnitude of the player's displacement from the

batter's box? Do a drawing with numbers to show

your work.

Answer 1

The magnitude of the distance (33.4 m) of the player is greater than his displacement (27.4 m).

The given parameters;

• initial displacement of the player = 27.4 m from box to base

• final displacement = 3 m back to base

A sketch of the players displacement is shown below;

     |---------------------27.4 m--------------------------->|---------3 m------->|

box ________________________________base

                                                                             ←------ 3m----------

The total distance of the player = 27.4 m + 3 m extra + 3m backwards

                                                     = (27.4 + 3 + 3) m

                                                     = 33.4 m

The displacement of the player = forward displacement - backward displacement

The displacement of the player = (27.4 + 3) - 3 = 27.4 m

Thus, the magnitude of the distance (33.4 m) of the player is greater than his displacement (27.4 m).

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