Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. What is her velocity in mi/h and m/s?

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Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. If city block is about 0.5 miles (0.8 km), what is her velocity in mi/h and m/s?

Katie runs from her house, East 5 blocks, South 3 blocks, West 5 blocks and North 4 blocks.

Since, velocity =

Displacement of Katie from initial position = (3 + 3) blocks

                                                                       = 6 blocks

Since, each block measure 0.5 miles,

Displacement = 6 × 0.5

                       = 3 miles

Time taken to cover the distance = 35 minutes ≈ 0.583 hours

Therefore, velocity of Katie =

                                              = 5.15 miles per hour towards South

Displacement (in m) = 6 × 0.8

                                   = 4.8 km

                                   ≈ 4800 m

Velocity (in m per hour) =

                                         = 8233.27 m per hour towards South

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