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

With respect to train:
Time of flight : `T=(2v_(y))/g=(2xx5sqrt(3))/10=sqrt(3)`
By using `s=ut+1/2 at^(2)`
we have `1.15=5T-1/2 aT^(@)rArr a=5 m//s^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    ALLEN |Exercise PHY|60 Videos
  • KINEMATICS

    ALLEN |Exercise EXERCISE-1|75 Videos
  • KINEMATICS

    ALLEN |Exercise SUBJECTIVE QUESTION|3 Videos
  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

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 of 30(@) with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground ? [ g = 10m//s^(2) , sin 30^(@) = (1)/(2) , cos 30^(@) = (sqrt(3))/(2)]

A body starting from rest moves along a straight line with a constant acceleration. The variation of speed (v) with distance (s) is represented by the graph:

Knowledge Check

  • A train is moving with constant acceleration. When the ends of a train pass by a signal their speeds are u and v respectively. Calculate the speed of the midpoint of the train while passing the signal.

    A
    `(u +v)/(2)`
    B
    `(u ^(2) + v ^(2))/( 2)`
    C
    `sqrt ((u ^(2) + v ^(2))/(2))`
    D
    `sqrt ((v +u)/(2))`
  • A train is moving with constant acceleration. When the ends of the train pass by a signal their speeds are 30 km/h and 40 km/h respectively. Calculate the speed of the midpoint of train while passing the signal.

    A
    35 km/hr
    B
    `(25)/(sqrt2) km//hr`
    C
    `25 sqrt2 km//hr`
    D
    `25 km//hr`
  • Similar Questions

    Explore conceptually related problems

    a particle moving along a straight line with uniform acceleration has velocities 7 m//s at A and 17 m//s at C. B is the mid point of AC. Then :-

    A train is moving with constant acceleration. When the ends of a train pass by a signal their speeds are u and v respectively. Calculate the speed of the midpoint of the train while passing the signal.

    A golfer standing on level ground hits a ball with a velocity of u=52m//s at an angle alpha above the horizontal. If tantheta=5//12 , then the time interval for which the ball is at least 15 m above the ground (i.e. between A and B will be :(take g=10m//s^(2) )

    On a train moving along east with a constant speed v, a boy revolves a bob with string of length l on smooth surface of a train, with equal constant speed v relative to train. Mark the correct option(s).

    A train of length 50m is moving with a constant speed of 10m/s. Calculate the time taken by the train to cross an electric pole and a bridge of length 250 m. (5s , 30s) (AS_(1))

    A 150 m long train is moving in north direction with a velocity of 5m/s and a parrot is also moving in north direction with a velocity of 10 m/s, then find out Distance travel by the parrot during the crossing.