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Chapter 2: Q. 50 (page 62)

Two cars are driving at the same constant speed on a

straight road, with car 1 in front of car 2. Car 1 suddenly starts

to brake with constant acceleration and stops in 10 m. At the

instant car 1 comes to a stop, car 2 begins to brake with the

same acceleration. It comes to a halt just as it reaches the back of car 1. What was the separation between the cars before they starting braking?

Short Answer

Expert verified

The separation between the two cars before they starting braking is20m.

Step by step solution

01

Introduction

If we consider that the car 1 is 'd' distance ahead of the car 2.

Distance travelled by the car 1 before stop is equal to s=10m.

02

Calculation of initial speed

Final velocity of car 1 is, v=0

Both the cars have an initial speed ofu.

We can find the initial speed of the car 1 as, localid="1648229426605" 0=u2-2as

Therefore,

localid="1649233598509" role="math" u2=2asu2=2a×10mu2=20ma...i

03

Calculation of distance

Now, the distance travelled by the car 2 in time t,

localid="1648230229587" d=utd=u×uaast=uad=u2a...ii

Combining iandii,

localid="1648230309339" d=20maad=20m

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