Question

Two cars traveling each other on a straight
road at velocities of 10m/s and 12m/s
respectively. When they are 150m apart,
Q. 9 both drivers apply their brakes and each
car decelerates at 2m/s2 until it stops. The
distance between them after when they
have both come to stop is
m.​

Answer 1

Answer:

89m

Explanation:

Distance between the two cars is 150 m.

For Car−1:

v=u

1

−at

0=10–2t

t = 5 sec

so distance travelled will be

s

1

=u

1

t−

2

1

at

2

s

1

=10×5−

2

1

×2×5

2

s

1

=25m

For Car−2:

v=u

2

−at

0=12–2t

t=6sec

so distance travelled will be

s

2

=u

2

t−

2

1

at

2

s

2

=12×6−

2

1

×2×6

2

s

2

=36m

So, when both cars will stop then the distance between them, will be :

150m–(25+36)m

=89m