Write as a Vector Equality r=6mi/hr , t=9hr

Problem

r=6* mi/hr,t=9* hr

Solution

1. Identify the relationship between displacement, velocity, and time. The displacement vector d is the product of the velocity vector v and the time scalar t

2. Define the velocity vector v using the given speed r Assuming motion in a single direction (standard unit vector i, the velocity is v=6*i

3. Substitute the given values into the vector equation d=v*t

4. Calculate the magnitude of the displacement by multiplying the rate and the time.

d=6×9

d=54

5. Express the final result as a vector equality representing the displacement.

Final Answer

d=54*i* mi

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