A bike racer is riding his new bike at Silverstone. The track is 4km long.
a) What is his average speed in m/s if he does a lap in 2 minutes?
b) What is his velocity after one lap?
a) To find the average speed in m/s, we need to convert the time and distance to the same unit. Let's start by converting the time from minutes to seconds.
There are 60 seconds in 1 minute, so to convert 2 minutes to seconds, we multiply 2 by 60: 2 minutes * 60 seconds/minute = 120 seconds.
Now, we can calculate the average speed using the formula:
Average Speed = Distance / Time
Since the track length is given in kilometers, let's convert it to meters. There are 1000 meters in 1 kilometer, so the track length in meters is 4 km * 1000 m/km = 4000 meters.
Now we can calculate the average speed:
Average Speed = 4000 meters / 120 seconds = 33.33 m/s (rounded to two decimal places)
Therefore, the bike racer's average speed is approximately 33.33 m/s.
b) Velocity is a vector quantity that includes both speed and direction. Since the question doesn't provide any information about the direction, we'll assume that the bike racer completes one lap in the same direction.
Since the bike racer completes a lap, we know that he ends up where he started. Therefore, his final velocity after one lap is zero because the displacement (change in position) is zero.
So, his velocity after one lap is 0 m/s.