A high-tech drone flies over Miami, FL in a direction 58.3°west of north with a speed of 30.2 km/h. Three hourslater, the drone suddenly shifts due north, and its speedslows to 12.7 km/h. How far (in kilometers) from Miami,FL is the drone 4.50 h after it passes over the Miami.Round your answer to 0 decimal places.

Let v1 and v2 be the drone’s speed during the fly 58.30 west of north and due north respectively.…

Answered: A high-tech drone flies over Miami, FL…

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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Question

A high-tech drone flies over Miami, FL in a direction 58.3°
west of north with a speed of 30.2 km/h. Three hours
later, the drone suddenly shifts due north, and its speed
slows to 12.7 km/h. How far (in kilometers) from Miami,
FL is the drone 4.50 h after it passes over the Miami.
Round your answer to 0 decimal places.

Expert Solution

Step 1

Let v₁ and v₂ be the drone’s speed during the fly 58.3⁰ west of north and due north respectively.

The situation is shown in the diagram below.

Here, r₁ and r₂ are the distance traveled by the drone during the fly 58.3⁰ west of north and due north respectively

Step 2

The distance (r₁) traveled by the drone towards 58.3⁰ west of north is given as

Since the drone flies for 3 hours in the direction 58.3⁰ west of north and the total time after which is displacement is to be determined is 4.5 hours, thus, the time (t₂) for which the drone travels due north is 1.5 hours.

The distance (r₂) traveled by the drone due north is given as

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