. How much time can you save travelling diagonally instead of walking 750 m [N] and

Question

then 350 m [E] if your walking speed is 6.0 m/s?
a. 36 s
b. 39 s
c. 42 s
d. 45 s

Answer 1

To find the time it takes to walk 750 m north and then 350 m east, we can use the Pythagorean theorem to find the total distance traveled:

Total distance = √(750^2 + 350^2)
Total distance = √(562500 + 122500)
Total distance = √685000
Total distance ≈ 827.31 m

Now we can find the time it takes to walk this distance at a speed of 6.0 m/s:

Time = Distance/Speed
Time = 827.31 m / 6.0 m/s
Time ≈ 137.88 s

Now let's find the time it takes to travel diagonally:

Diagonal distance = √(750^2 + 350^2)
Diagonal distance = √685000
Diagonal distance ≈ 827.31 m

Time = Distance/Speed
Time = 827.31 m / 6.0 m/s
Time ≈ 137.88 s

Since the time taken to travel diagonally is the same as walking north and then east, there is no time saved by traveling diagonally. Therefore, the correct answer is:

a. 36 s