Question

a driver of a car traveling at 52 km h1 applies the brake and accelattes uniformly in the opposite direction. the car stop in 5s . another driver going at 3km h1 in another car applies his brake slowly and stop in 10s. on the same graph paper plot the speed versus time graph for two cars.which of the two car travel farther after brake were applied

Answer 1





Answer

Given : 
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.

Answer 2

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