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- a rabbit runs 3.8 m n and stops to nibble on some grass. the rabbit then hops 6.3 m s to scratch against a small tree. what is the rabbits total displacement?
Step1: Define Directions
Let North (N) be positive and South (S) be negative. So the first displacement \( d_1 = + 3.8\space m \) and the second displacement \( d_2=- 6.3\space m \).
Step2: Calculate Total Displacement
Total displacement \( D=d_1 + d_2 \). Substitute the values: \( D = 3.8+( - 6.3)=3.8 - 6.3=- 2.5\space m \). The negative sign indicates the direction is South (S).
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The rabbit's total displacement is \( 2.5\space m \) [S] (or \(-2.5\space m\) if we consider the sign convention with North as positive).