Home
Class 11
PHYSICS
A train is moving along a straight line ...

A train is moving along a straight line with a constant acceleration 'a' . A boy standing in the train throws a ball forward with a speed of `10 m//s `, at an angle of `60(@)` to the horizontal. The boy has to move forward by `1.15 m ` inside the train to catch the ball back at the initial height . the acceleration of the train , in `m//s^(2)` , is

Text Solution

Verified by Experts

The correct Answer is:
5
` T = (2usintheta)/g = (2xx10xxsqrt(3))/g = (2xx10xxsqrt(3))/(10xx2) = sqrt(3)s`.
`R = u cos theta T - 1/2 aT^2`
`1.15 = 10 xx 1/2 sqrt(3) - 1/2 a (sqrt3)^2`
`3/2 a = 5 sqrt(3) - 1.15 = 8.65 - 1.15 = 7.5` ,brgt ` a = 7.5 xx 2/3 = 5ms^(-2)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise True or False|2 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|9 Videos

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

A train is moving along a straight line with a constant acceleration a. A body standing in the train throws a ball forward with a speed of 10ms^(-1) , at an angle of 60^(@) to the horizontal . The body has to move forward by 1.15 m inside the train to cathc the ball back to the initial height. the acceleration of the train. in ms^(-2) , is:

A boy sitting at the rear end of a railway compartment of a train, running at a constant acceleration on horizontal rails throws towards the fore end of the compartment with a muzzle velocity of 20m/sec at an angle 37^(@) above the horizontal, when the train is running at a speed of 10 m/sec. If the same boy catches the ball without moving from his seat and at the same height of projection,find the speed of the train at the instant of his catching the ball.

Knowledge Check

  • A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m//s^(-1) at an angle of 30^(@) with the horizontal. How far from the throwing point will the ball be at a height of 10 m from the ground?

    A
    `5.2 m`
    B
    `4.33 m`
    C
    `2.66 m`
    D
    `8.66 m`

  • A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle 30 ^@ with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground? (g = 10 m//s ^ 2 )

    A
    8.66 m
    B
    5.20 m
    C
    4.33 m
    D
    2.60 m

  • A person sitting in a train moving with a constant velocity along a straight line throws a ball vertically upwards, then the ball will

    A
    full onwards the train
    B
    behind the thrower's hand
    C
    return to thrower's hand
    D
    nothing can be decided

    • Similar Questions

    Explore conceptually related problems

    A platform is moving upwards with a constant acceleration of 2 m s^-2 . At time t = 0 , a boy standing on the platform throws a ball upwards with a relative speed of 8 m s^-1 . At this instant, platform was at the height of 4 m from the ground and was moving with a speed of 2 m s^-1 . Take g = 0 m s^-2 . Find (a) when and where the ball strikes the platform. (b) the maximum height attained by the ball from the ground. ( c) the maximum distance of the ball from the platform.

    A train starts from a station and moves with a constant acceleration for 2 minutes. If it covers a distance of 400m in this period, find the acceleration.

    A train is moving forward with a horizontal acceleration a. A man sitting in the train drops a coin on the floor of the train . The acceleration of the coin w.r.t man is

    A train starts from rest with constant acceleration a=1 m//s^(2) A passenger at a distance S from the train runs at this maximum velocity of 10 m//s to catch the train at the same moment at which the train starts. Find the speed of the train when the passenger catches it for the critical distance:

    A train is moving towards East with a speed 20 m/s. A person is running on the roof of the train with a speed 3 m/s against the motion of train. Velocity of the person as seen by an observer on ground will be :

    Home
    Profile