The value of k is 34 meters per second.
To solve for the value of k, we can use the formula:
distance = speed * time
We are given that the distance traveled during the 50 seconds is 1.7 kilometers, and the speed is k meters per second.
We can convert the distance to meters by multiplying by 1000:
1.7 kilometers * 1000 meters/kilometer = 1700 meters
Now we can plug in the values we know into the formula:
1700 meters = k meters/second * 50 seconds
Solving for k, we get:
k = 1700 meters / 50 seconds = 34 meters/second
Therefore, the value of k is 34 meters per second.