A driver of a car travelling at 52 km h–1 applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 3 km h–1 in another car applies his brakes slowly and stops in 10 s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?

Answer

First, let us convert both speeds in m/s

Transcript

Conversion from km/h to m/s
1 km = 1000 m
1 hour = 60 minutes = 3600 s
∴ (1 𝑘𝑚)/ℎ = (1000 𝑚)/(3600 𝑠)
∴ 1 km/h = 5/18 m/s
Car 1
Initial velocity = 52 km/h
= 52 × 5/18 m/s
= 130/18 m/s
= 14.44 m/s
Final Velocity = 0 m/s
Time = 5 second
Car 2
Initial velocity = 3 km/h
= 3 × 5/18 m/s
= 5/6 m/s
= 0.833 m/s
Final Velocity = 0 m/s
Time = 10 second
Car 1
Distance Travelled
= Area under v − t graph
= 1/2 × b × h
= 1/2 × 5 × 130/9
= 36.11 m
Car 2
Distance Travelled
= Area under v − t graph
= 1/2 × b × h
= 1/2 × 10 × 5/6
= 4.166 m
So, Car 1 Travelled farther when breaks were applied

CA Maninder Singh is a Chartered Accountant for the past 14 years and a teacher from the past 18 years. He teaches Science, Economics, Accounting and English at Teachoo

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!