Home
Class 11
PHYSICS
Two cars (A) and (B) travel in straight ...

Two cars (A) and (B) travel in straight line . The distance of (A) from the starting point is given as a function of time be ` a_A (t) = pt + qt^2 `, with ` p = 2 . 60 ms^(-1)` and ` q= 1.20 ms^(-2)`. The distance of (B) from the starting pint is ` x_B (t) = rt^2 - st^3 ` are ` r= 2. 80 ms^(-2)` and ` s = 0.20 ms^(-3)`. Answer the following questions ,
Which car is ahead just after they have the starting point ?

A

Car (A) moves ahead

B

Car (B) moves ahead

C

Cars (A) and (B) move simultaneously

D

Data is insufficient to decide.

Text Solution

Verified by Experts

The correct Answer is:
A
` x_A= pt + qt^2 , x_b =rt^2 - st^3`
Velocity, ` v_A= (dx)_A)/(dt) = p+ 2 qt`
` v_B = (dx_B)/(dt) = 2 rt - 3 st^2`
Acceleration, ` a_A = (dv_A)/(dt) = 2 q , a_B= 2 r- 6 st`
The car that initially moves ahead is the one which bas largr velocity at ` t= 0. at ` t=0 , v= p` and ` v_B =0`.
So, initially car (A) moves ahead.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 4 NCERT Integer type|4 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 NCERT Assertion-Reaseon Type|14 Videos

  • KINEMATICS

    PRADEEP|Exercise 3 NCERT multiple|161 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

Two cars (A) and (B) travel in straight line . The distance of (A) from the starting point is given as a function of time be a_A (t) = pt + qt^2 , with p = 2 . 60 ms^(-1) and q= 1.20 ms^(-2) . The distance of (B) from the starting pint is x_B (t) = rt^2 - st^3 are r= 2. 80 ms^(-2) and s = 0.20 ms^(-3) . Answer the following questions , At what time (s) do the cars (A) and (B) have the same acceleration ?

Two cars (A) and (B) travel in straight line. The distance of (A) from the starting point is given as a function of them be a_A (t) = pt + qt^2 , with p = 2 . 60 ms^(-1) and q= 1.20 ms^(-2) . The distance of (B) from the starting point is x_B (t) = rt^2 - st^3 are r= 2. 80 ms^(-2) and s = 0.20 ms^(-3) . Answer the following questions, At what time (s) are the cars at the same point ?

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?

A body of mass 2kg travels according to the law x (t) = pt + qt^(2) + rt^(3) where p = 3ms^(-1),q = 4 ms^(-2) and r = 5ms^(-3) .

A body of mass 2kg travels according to the law x(t) = pt + qt^(2) + rt^(3) where , q = 4 ms^(-2) , p = 3 ms^(-1) and r = 5 ms^(-3) . The force acting on the body at t = 2s is

A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by x =t- 9t^(2) + t^(3) . lts acceleration will be zero at

A particle is moving in a straight line. At time t the distance between the particle from its starting point is given by x=t-6t^(2)+t^(3) . Its acceleration will be zero at

A point mives in a straight line so its displacement x mertre at time t second is given by x^(2)=1+t^(2) . Its aceleration in ms^(-2) at time t second is .

A particle moves in a straight line. Its position ( in m) as function of time is given by x = (at^2 + b) What is the average velocity in time interval t = 3s to t = 5s in ms^(-1) . (where a and b are constants and a = 1ms^(-2), b = 1m ).

A particle moves along a straight line on y-axis. The distance of the particle from O varies with time and is given by : y = 20t - t^2 . The distance travelled by the particle before it momentarily comes to rest is