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An object is dropped from rest at a heig...

An object is dropped from rest at a height of `150 m` and simultanously another object is dropped from rest at a height `100m`. What is the difference in their height after `2 s` if both the objects drop with same acceleration ? How does the difference in height vary with time ?

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Understand the motion of both objects Both objects are dropped from rest, which means their initial velocity (u) is 0 m/s. They are under the influence of gravity, so they will accelerate downwards with an acceleration (a) of approximately 9.81 m/s². ### Step 2: Calculate the distance fallen by each object after 2 seconds The formula for the distance (s) fallen under constant acceleration is given by: \[ s = ut + \frac{1}{2} a t^2 \] ...
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Knowledge Check

  • A body is dropped from a certain height.

    A
    the time taken to travel first half of the height is greater than that for second half.
    B
    time time taken to travel first half of the height is less than that for second half
    C
    the time taken to travel first half of the height is equal to that for second half
    D
    any one of the above three situations may be correct depending upon the value of height.

  • A ball is dropped from a height of 10 m, as it falls,

    A
    its velocity increases and acceleration decreases.
    B
    its velocity decreases and acceleration increases.
    C
    its velocity increases and acceleration remains constant.
    D
    its velocity and acceleration remains constant.

  • An object is dropped from rest. Its velocity versus displacement graph is:

    A
    B
    C
    D