Question

A mosquito flies toward you with a velocity of 2.4 km/h [E]. If a distance of 35.0 m separates you and the mosquito initially, at what point (distance and time) will the mosquito hit your sunglasses if you are travelling toward the mosquito with a speed of 2.0 m/s and the mosquito is travelling in a straight path?

Answer 1

First convert the speed of mosquito to m/s:

So the mosquito is flying at (2,400/3,600) m/s, or ⅔ m/s.

Since you are moving at 2m/s, so this makes the closing velocity between you and the mosquito to be 2⅔ m/s.

Therefore the mosquito will hit your sunglasses at:

35 m / (2⅔ m/s) = 13⅛ seconds.

2.0 m/s * 13⅛ s = 26¼ m from your initial position.

⅔ m/s * 13⅛ s = 8¾ m from the mosquito's initial position.