Question

Alice and Bob are doing a space race from Earth to the Moon which is d ≈ 384000 km far away.

Alice’s spaceship flies with a constant speed of v = 500 km

h

. Bob’s spaceship starts slowly but

accelerates constantly with a = 1.4

km

h2

.
​

Answer 1

I don't consider gravity here.

For 1st one

D=384000,V=500kmph

V=D/T

=>T=384000/500=768 hour

For 2nd one

we just see where is he at the same time

So ,T=768h ,A=1.4kmph^2

as both have 0 initial velocity

Distance travelled s=ut+ 1/2 at^2

S=(1.4/2)*768^2

S=412876.8km

Very far from former so it would have reached earliest .