Question

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

Answer 1

First convert km/h to m/s (divide by 3.6)
Make the initial point of the mosquito 0m and positive velocity (2.4km/h)
And the perosn's initial point at 35m but with a negative velocity (-2m/s)
Write two displacement formulas for each:
\[x_f=x_i+vt\]
And then compare their final displacements:
\[x_{iA}+v_At = x_{iB}+v_Bt\]
That way your only variable is time.