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Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per​ hour, how fast will the distance between them be changing after three​ hours?

Respuesta :

abidemiokin

Answer:

225miles

Step-by-step explanation:

velocity is the change in displacement with respect to time

Speed Δv = Δd/t

Δd = tΔv

Δv is the change in speed

t is the time taken 3 hours

Substitute the given parameters into the formula;

Using the pythagoras theorem to get the change in velocity

v² = 60²+45²

v² = 3600+2025

v² = 5625

v = √5625

v = 75miles/hour

Substitute the gotten values inti the formula;

Δd = tΔv

Δd = 3*(75)

Δd = 225miles

The distance between them be changing by 225miles after 3 hours