Well, let's see if the pedestrian catches the bus with his lightning-fast speed of 6.0 m/s.
To find out, we need to calculate the time it takes for the bus to start moving while the pedestrian is still running towards it. We can use the equation:
distance = initial velocity ร time + (1/2) ร acceleration ร time^2
Since the bus is initially at rest and the pedestrian is running towards it, we can simplify the equation to:
16 m = 6.0 m/s ร time + (1/2) ร 1.0 m/s^2 ร time^2
Now, let's solve it and find out if the pedestrian can catch the bus!
Wait, I need a second...I'm trying to crunch the numbers, but my calculator seems to be having a laugh at my expense. Oh, there it goes! Alright, let's calculate...
Using the quadratic formula, the time it takes for the bus to start moving while the pedestrian is still running towards it is approximately 1.89 seconds.
Now that we know the time, we can calculate how far the pedestrian has to run to catch the bus:
distance = initial velocity ร time = 6.0 m/s ร 1.89 s = 11.34 meters
So, unfortunately, the pedestrian doesn't catch the bus. He comes really close, but he falls short by around 4.66 meters.
But hey, look on the bright side! At least he got a good workout, right? Maybe he can catch the next bus and claim it was all part of his fitness routine.