group of bicyclists take a four hour ride. During the first three hours, they ride a total of 60 km. During the last hour they only ride 6.0 km more. What was the magnitude of the group's average velocity during the ride in km/hr?
Question
group of bicyclists take a four hour ride. During the first three hours, they ride a total of 60 km. During the last hour they only ride 6.0 km more. What was the magnitude of the group's average velocity during the ride in km/hr?
Solution
To calculate the average velocity, we need to know the total distance traveled and the total time taken.
Step 1: Calculate the total distance The total distance is the sum of the distance covered in the first three hours and the last hour. The distance covered in the first three hours is 60 km and in the last hour is 6 km. So, the total distance = 60 km + 6 km = 66 km
Step 2: Calculate the total time The total time taken is 4 hours.
Step 3: Calculate the average velocity The average velocity is the total distance divided by the total time. So, the average velocity = total distance / total time = 66 km / 4 hours = 16.5 km/hr
So, the magnitude of the group's average velocity during the ride is 16.5 km/hr.
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