Question

how fast do i have to go from b to c in order to average for the whole trip? write an equation expressing v2 (the speed i need to average going from b to c) in terms of the other symbols given: v1, δl1, δl2, and δt.

Answer 1

The equation for average speed is (δl1 + δl2) / (δt1 + δt2). To find v2, the speed needed to average from B to C, rearrange the average speed equation to solve for v2: v2 = (average speed * (δt1 + δt2) - δl1) / δl2.

Step-by-step explanation:

The average speed of a journey can be calculated by dividing the total distance traveled by the total time taken. In this case, the total distance is the sum of δl1 and δl2, and the total time is the sum of the time taken for δl1 and δl2. Therefore, the equation for average speed would be:

average speed = (δl1 + δl2) / (δt1 + δt2)

To find the speed needed to average when going from point B to point C (v2), we can assume that the distance traveled between B and C (δl2) is known. Since speed is defined as distance divided by time, we can rearrange the average speed equation to solve for v2:

v2 = (average speed * (δt1 + δt2) - δl1) / δl2