Home
Class 11
PHYSICS
On a two lane road , car (A) is travelli...

On a two lane road , car (A) is travelling with a speed of `36 km h^(-1)`. Tho car ` B and C` approach car (A) in opposite directions with a speed of ` 54 km h^(-1)` each . At a certain instant , when the distance (AB) is equal to (AC), both being ` 1 km, (B) decides to overtake ` A before C does , What minimum accelration of car (B) is required to avoid and accident.

Text Solution

Verified by Experts

The correct Answer is:
1

The situation can be roughly shown in the figure. Let C take time t to overtake A.
`d_(rel)=1000, v_(rel)=(10+15)=25ms^(-1)`
Here `t=(d_(rel))/(v_(rel))=(1000)/(25)=40s`
Let acceleration of B be a for overtaking.
`d_(rel)=1000 m, v_(rel)=15-10=5ms^(-1)`
`d_(rel)=a and t=40s`
Using `d_(rel)=u_(rel)t+(1)/(2)a_(rel)t^(2)`
`100=5xx40+(1)/(2)a(40)^(2)impliesa=1ms^(-2)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Single Answer Question|8 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Comprehension Question|5 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Multiple Answer Question|22 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

Similar Questions

Explore conceptually related problems

On a two lane road , car (A) is travelling with a speed of 36 km h^(-1) . Tho car B and C approach car (A) in opposite directions with a speed of 54 km h^(-1) each . At a certain instant , when the distance (AB) is equal to (AC), both being km, (B) decides to overtake A before C does , What minimum accelration of car (B) is required to avoid and accident.

On a two lane road, car A is travellin with a speed of 36 km h^(-1) , Two cars B and C approach car A in opposite directions with a speed of 34 km h^(-1) . At a certain instant, when the distance AB is equal to AC , both 1 km B decided to overtake A before C does. What minimum acceleration of car B is required to avoed and accident?.

On a two lane road, car A is travelling with a speed of 10 m//s and other two cars B and C approach car A in opposite directions with a speed of 15m/s. At an instant, when the distance AB is equal to AC, both being 1 km, B decides to overtake A force C does. What minimum acceleration of car B is required to avoid an accident ?

Ona twolaneroada carAistravelling witha speedof v=5 ms^(-1) . Two car B and C approach car A in opposite direction with a speed u=10 ms^(-1) each. At a certain instant when the B and C are equidistant from A each being l=1500 m , B decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident with C:

A car travelling with a velcity of 60 km h^(-1) on a straight road is ahead of a motor cycle travelling with a speed of 76 km h^(-1) . How would the relative velcity be alterd if motor cucle is ahead of car?

A car is moving towards east with a speed of 25 km h^-1 . To the driver of the car, a bus appears to move towards north with a speed of 25 sqrt(3) km h^-1 . What is the actual velocity of the bus ?

A car moves with a speed of 60 km h^(-1) for 20 min and then at a speed of 30 km h^(-1) for the next 20 min. the total distance covered by the car is ____ km.

A car travelling at 20 km/h speeds up to 6 km/h in 6 seconds. What is its acceleration ?