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A car starting from rest is accelerates ...

A car starting from rest is accelerates at a constant rate `alpha` until it attains a speed v .It is then retarded at a constant rate `beta` until it comes to rest. The average speed of the car during its entire journey is

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A car starting from rest is acceleration at constant rate until it attains a speed of 12 m/s. It moves with the constant speed 12 m/s for some time and then it is retarded at other constant rate until it comes to rest. Considering theta the car moves with constant speed for half of the time of total journey, what will be the average speed of the car for the whole journey (in m/s) ?

A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 800 rad, starting from rest, gaining angular speed at the constant rate alpha_(1) through the first 400 rad and then losing angular speed at the constant rate - alpha_(1) until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 400m//s^(2) . (a) What is the least time required for the rotation? (b) What is the corresponding value of alpha_(1) ?

Knowledge Check

  • A car starts moving on a straight road. It makes the entire journey in three parts. The total time of journey is 25 s. For first part it accelerates at a constant rate 5m//s^(2) . For second part it moves with a constant speed. For the third part it retards at constant rate 5m//s^(2) to come to rest. If the average speed for entire journey is 20 m/s, time period of first part of journey is

    A
    5 s
    B
    20 s
    C
    15 s
    D
    10 s

  • 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 starts from rest and moves with uniform acceleration a on a straight road from time t=0 to t=T . After that, a constant deceleration brings it to rest. In this process the average speed of the car is

    A
    `(aT)/(4)`
    B
    `(3aT)/(2)`
    C
    `(aT)/(2)`
    D
    `aT`

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