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.

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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.
Transcribed Image Text: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.

Physics homework question answer, step 1, image 1

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

Physics homework question answer, step 2, image 1

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 (2) for which the drone travels due north is 1.5 hours.

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

Physics homework question answer, step 2, image 2

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