Driving to their cottage, the Smiths travelled 85km in the first hour. After 3 hours of continuous driving they completed the trip, having travelled a total distance of 276km.
Determine the average rate of change of distacne with respect to time during the last two hours.
-Thanks
Determine the average rate of change of distacne with respect to time during the last two hours.
-Thanks
-
1st hour = 85 km/h
Total hours driven = 3
Since we are only looking at the last two hours:
3 - 1 = 2
They traveled 276 km throughout the whole trip.
276 - 85 = Distance Traveled over the last two hours
That equals 191 km.
191km/2 hours = 95.5 average velocity.
Since velocity is the derivative of position, that makes it the rate of change for the position function:
d = r * t
Total hours driven = 3
Since we are only looking at the last two hours:
3 - 1 = 2
They traveled 276 km throughout the whole trip.
276 - 85 = Distance Traveled over the last two hours
That equals 191 km.
191km/2 hours = 95.5 average velocity.
Since velocity is the derivative of position, that makes it the rate of change for the position function:
d = r * t
-
(276 - 85) / 2 =>
191 / 2 =>
95.5
95.5 km/h
191 / 2 =>
95.5
95.5 km/h