Home
Class 12
PHYSICS
Two cars C1 and C2 moving in the s...

Two cars `C_1 and C_2` moving in the same direction on a straight road with velocities 12 m/s and 10 m/s respectively . When the separation between the two is 200 m `C_2` started accelerating to avoid collisions what is the minimum acceleration of car `C_2 ` so that they don't collide .

Text Solution

Verified by Experts

By relative
` veca _(C_1 C_2) = veca_(C_1) - veca_(C_2) =0 -a =(-a)`
` vecV_(C_1C_2) = vecV_(c_1) - vecV_(c_2) = 12 - 10 =2 m//s `
so by relativity we want the car to stop .
` therefore V^2 - u^2 = 2as `
`implies 0-2^2 =- 2 xx a xx 200`
`implies a =1/100 m//s ^2 = 0.1 m//s^2 = 1 cm //s^2`
` therefore ` Minimum acceeleration needed by car `C_2 =1 cm //s^2`
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF VECTORS

    AAKASH SERIES|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

  • ELEMENTS OF VECTORS

    AAKASH SERIES|Exercise SHORT ANSWER TYPE QUESTIONS|9 Videos

  • ELECTROSTATICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|4 Videos

  • GEOMETRICAL OPTICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|6 Videos

Similar Questions

Explore conceptually related problems

A car moving the constant acceleration cross two points A and B with velocities 10m/s and 20m/s in its path.Find the velocity of the car midway between A and B . (in m/s)

A car moving with constant acceleration crosses two points A and B with velocities 10 m/s and 20 m/s in its path. Find the velocity of the car midway between A and B. (in m/s).

Two cars X and Y start off to a race on a straight path with initial velocities of 8 m/s and 5 m/s respectively. Car X moves with uniform acceleration of 1 "m/s"^2 and car Y moves with uniform acceleration of 1.1 "m/s"^2 . If both the cars reach the winning post together find the length of the track.