Question

A driver of a car travelling at 52km/hr applies brakes and
accelerates uniformly in the opposite direction the car stops in 5
seconds. Another driver going at 34km/hr in another car applies brakes
slowly and stops in 10 seconds.

(i). Plot the speed versus time graph for both time graphs for two cars.
(ii). Which of the two travels farther after the brakes are applied?​

Answer 1

Answer:

First Car  A:  

Initial Velocity= u= 52 km/hr=52x5/18=14.4 m/s

Final velocity= V= 0m/s

time =t=5sec

Refer attachment for Graph :

Distance travelled : Area of traingle AOB =1/2 OB x AO

=(1/2)x 14.4 x 5=72/2=36m

Second Car  B:

Initial Velocity= u= 3 km/hr=3x5/18=0.83m/s

Final velocity= V= 0m/s

time =t=10sec

Refer attachment for Graph :

Distance travelled : Area of traingle COD =1/2 OD x CO=(1/2)x 0.83 x 10=4.1m

So, after applying of brakes , Car A has travelled a distance of 3m and car B has travelled a distance of 4.1m.

∴ Car B has travelled farther than Car A after the brakes are applied.

pls mark me as brainliest