Home
Class 12
PHYSICS
Two cars P and Q start from a point at t...

Two cars `P` and `Q` start from a point at the same time in a straight line and their position are represented by `x_p(t) = at + bt^2` and `x_Q (t) = ft - t^2`. At what time do the cars have the same velocity ?

A

`(a-f)/(1+b)`

B

`(a+f)/(2(b-1))`

C

`(a+f)/(2(1+b))`

D

`(f-a)/(2(1+b))`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)|15 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - B)|33 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE|Exercise Assignement section -J (Aakash Challengers Questions)|4 Videos
  • MOTION IN STRAIGHT LINE

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J)|2 Videos

Similar Questions

Explore conceptually related problems

Two cars "P" and "Q" start from a point at the same time in a straight line and their positions are represented by "X_(P)(t)=at+bt^(2)" and "X_(Q)(t)=ft-t^(2)".At what time do the cars have the same velocity?

A p article moves in a straight line such that its position in 't' time is s(t)=(t^(2)+3)/(t-1) cm. find its velocity at t=4 sec.

Knowledge Check

  • Two cars P and Q start from a point at the same time in a straight line and their positions are represented by X_(P)(t)=at+bt^(2) and X_(Q)(t)=ft-t^(2) , At what time do the cars have the same velocity ?

    A
    `(a+f)/(2(1+b))`
    B
    `(f-a)/(2(1+b))`
    C
    `(a-f)/(1+b)`
    D
    `(a+f)/(2(b-1))`
  • The position of a particle moving on a straight line depends on time t as x=(t+3)sin (2t)

    A
    Its velocity at the initial moment is 6 m/s
    B
    Its acceleration at the initial is `-8 m//s^(2)`
    C
    It has velocity of 3 m/s at `t=(pi)/2` sec
    D
    It has an acceleration of `2 m//s^(2)` at `t=(pi)/4` sec
  • Position - time graph for a particle is shown in figure. Starting from t = 0, at what time t, the average velocity is zer?

    A
    1 s
    B
    3 s
    C
    6 s
    D
    7 s
  • Similar Questions

    Explore conceptually related problems

    Two cars, A and B move along the x-axis. Car A starts from rest with constant accelertion while car B moves with consstant velocity. a. At what time s , t s , if any, do A and B have the same position? . b. At what time s if any, do A and B have the same velocity? What is the velocity of car B at this time. c. Graph velocity versus time for both A and B . d. At what time s . If any, does car A pass car A ? e. At what time s , if any does car B pass car A ?

    Two cars A and B travel in a straight line.The distance of A, from the starting point is given as a function of time by x_(A)(t)=at+bt^(2) with a=4m/s and b=2m/s^(2) .The distance of B from the starting point is given as x_(B)(t)=ct^(2)+dt^(3) with c=2m/s^(2) and d=1m/s^(3) . Which car moves ahead just after they leave the starting point?

    The diagram shows a velocity-time graph for a car moving in a straight line. At point Q the car must be

    The drawing shows velocity (v) versus time (t) graphs for two cyclists moving along the same straight segment of a highway from the same point. The second cyclist starts moving at t = 3 min . At what time do the two cysclist meet ?

    A particle is thrown vertically upwards from the surface of the earth. Let T_(P) be the time taken by the particle to travel from a point P above the earth to its highest point and back to the point P. Similarly, let T_(Q) be the time taken by the particle to travel from another point Q above the earth to its highest point and back to the same in terms of T_(P), T_(Q) and H, is :-