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