Home
Class 12
PHYSICS
A car accelerates from rest at a constan...

A car accelerates from rest at a constant rate for some time after which it decelerates at a constant rate `beta` to come to rest. If the total time elapsed is t, the maximum velocity acquired by the car is given by :

A

`(ab)/((a+b))t`

B

`(ab)/((a-b))t`

C

`(at^2)/((a+b))`

D

`(tb^2)/((a+b))`

Text Solution

Verified by Experts

The correct Answer is:
B

if the car accelerates for time `t_1`, then `at_1=b (t-t_1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AIIMS 1998

    AIIMS PREVIOUS YEAR PAPERS|Exercise PHYSICS|60 Videos
  • AIIMS 2000

    AIIMS PREVIOUS YEAR PAPERS|Exercise PHYSICS|49 Videos

Similar Questions

Explore conceptually related problems

A car acceleration form rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta , to come to rest. If the total time elapsed is t evaluate (a) the maximum velocity attained and (b) the total distance travelled.

A car accelerates from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta, to come to rest. If the total time elapsed is t seconds. Then evalute (a) the maximum velocity reached and (b) the total distance travelled.

Knowledge Check

  • A car accelerates from rest at a constant rate alpha for sometime , after which it decelerates at a constant rate beta and comes to rest. If T is the total time elapsed, the maximum velocity acquired by the car is

    A
    `((alphabeta)/(alpha+beta))T`
    B
    `((alpha+beta/(alphabeta))T`
    C
    `((alpha^(2)+beta^(2))/(alphabeta))T`
    D
    `(1)/(2)(alphaT)/(beta)`
  • A car accelerates from rest at a constant rate of 2 m s^(-2) for some time. The it retatds at a constant rate of 4 m s^(-2) and comes to rest. It remains in motion for 6 s .

    A
    Its maximum speed is `8 m s^(-1)`
    B
    Its maximum speed is `6 m s^(-1)`
    C
    It travelled a total distance of `24 m`
    D
    It travelled a total distance of `18 m`
  • A car acceleration from rest at a constant rate 2m//s^(2) for some time. Then, it retards at a constant rate of 4 m//s^(2) and comes to rest. If it remains motion for 3 second, then the maximum speed attained by the car is:-

    A
    2m/s
    B
    3m/s
    C
    4m/s
    D
    6m/s
  • Similar Questions

    Explore conceptually related problems

    A bus accelerated from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta to come to rest. If the total time elapsed is t seconds. Then evaluate following parameters from the given graph (a) the maximum velocity achieved. (b) the total distance travelled graphically and (c) Average velocity.

    A car accelerates from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta and ultimately comes to rest.If the total time-lapse is t, what is the total distance described and maximum velocity reached ?

    A particle accelerates from rest at a constant rate for some time and attains a velocity of 8 m/sec. Afterwards it decelerates with the constant rate and comes to rest. If the total time taken is 4 sec, the distance travelled is

    A car accelerates from rest at constant rate of 2 ms^(-2) for some time. Then it retards at a constant rate of 4 ms^(-2) and comes to rest. It remains in motion for 3 seconds

    A car accelerates from rest at constant rate of 2ms^(-2) for some time. Immediately after this, it retards at a constant rate of 4ms^(-2) and comes to rest. The total time for which it remains in motion is 3 s. Taking the moment of start of motion as t = 0, answer the following questions. If the time of acceleration is t_(1) , then the speed of the car at t=t_(1) is