Question

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?

Answer 1

225miles

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