An airplane is flying at a speed of 350 mi/h at an altitude of one mile and passes directly over a radar station at time t=0.

Question

a) Express the horizontal distance d (in miles) that the plane has flown as a function of t.

I really don't know... would it be something like d= t . a + b?

b) Express the distance s between the plane and the radar station as a function of d.

c) Use composition to express s as a function of t.

Answer 1

since distance = rate x time

d = 350t

now look at your triangle. It is right-angled with a height of 1, a horizontal distance of d and the hypotenuse is s

s^2 = 1^2 + d^2 , but d = 350t
so....
s^2 = 1 + (350t)^2
s = √(1 + 122500t^2)