Question

Two cars A and B are travelling with the speed of 54km/hr and 36km/hr respectively. Find the length of the road required if A overtakes B. Each car is 5m long.​

Answer 1

Answer:1m/s^2

Step-by-step explanation:

Speed of car A=36 km/h

=36*5/18=10 m/s

let Vb and Vc be speed of car B and C

Vb=Vc=54 km/h

=54*5/18

15 m/s

relative speed of car B with respect to car A,Vba is

Vba=Vb-Va=15-10=5m/s

relative speed of car C with respect to car A,Vca is

Vca=Vc+Va=15+10=25m/s

AB=AC=1 km

=1000m

Let t be the time taken by car AC

w.k.t

s=ut

t=s/u=AC/vca=1000/25=40s

Let a be the accelaration of car B for time t =40 sec

wkt

s=ut+1/2at^2

1000=5*40+1/2a*40*40

1000=200+800a

800=800a

a=1 m/s^2