Question

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?

Answer 1

Explanation:

Given question is incomplete; here is the complete question,

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 =
`\frac{\text{Displacement}}{\text{Time}}`

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 =
`(3)/(0.583)`

= 5.15 miles per hour towards South

Displacement (in m) = 6 × 0.8

= 4.8 km

≈ 4800 m

Velocity (in m per hour) =
`(4800)/(0.583)`

= 8233.27 m per hour towards South