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?
avg speed= distance/time change km to meters, min to seconds.
Velocity is (final position-initial position)/time. Because his final position and intial position are the same, his average velocity is zero.
To find the average speed of the bike racer, we need to convert the time and distance into the same units.
a) First, let's convert the time from minutes to seconds. Since 1 minute is equal to 60 seconds, the time of 2 minutes is:
2 minutes * 60 seconds/minute = 120 seconds
Now, let's convert the distance from kilometers (km) to meters (m). Since there are 1000 meters in 1 kilometer, the distance of 4 km is:
4 km * 1000 m/km = 4000 meters
To find the average speed, we divide the distance by the time:
Average Speed = Distance / Time
Average Speed = 4000 meters / 120 seconds
Therefore, the average speed of the bike racer is:
Average Speed = 33.33 m/s (rounded to two decimal places)
b) Velocity is a vector quantity that includes both speed and direction. Since the bike racer is completing a lap, we assume that his velocity after one lap is the same as his starting point, since he returns to his initial position.
Hence, his velocity after one lap is zero m/s since he is back at the starting point and his displacement is zero.