Just as a car starts to accelerate from rest with an acceleration of 1.4m/s2,a bus moving with a constant speed of 12m/s passes it in a parallel line.

Question

1.How long the car overtakes the bus.
2.How fast will the car then be going.
3.How far will the car then have gone.

Answer 1

1. Xcar = 0.7 t^2
Xbus = 12 t
0.7t^2 = 12t
0.7 t = 12
t = 17.14 seconds
Set Xbus = Xcar and solve for t
2. Use the t from part 1 and
Vcar = 1.4 t
to get the car's velocity.
3. Use the t from part 1 and either of the X equations, to get the distance travelled.