I need to drive from A to C via B at total distance of ΔL. The distance from A to B is ΔL1, from B to C is ΔL2. I have time Δt to get from A to C, so I figure I can make it if I average = ΔL/Δt for the entire trip. Going from A to B, the traffic is heavy and I can only average a speed v1. 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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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 I need to drive from A to C via B at total distance of ΔL. The distance from A to B is ΔL1, from B to C is ΔL2. I have time Δt to get from A to C, so I figure I can make it if I average <v> = ΔLt for the entire trip. Going from A to B, the traffic is heavy and I can only average a speed v1. How fast do I have to go from B to C in order to average <v> 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.

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