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A body thrown vertically upwards with a ...

A body thrown vertically upwards with a certain velocity returns to the ground. What is its displacement and distance travelled ? How are the two affected when velocity of projection is doubled ?

Text Solution

Verified by Experts

As the body returns to ground, displacement `= 0`.
We can show that height to which the body goes before falling down `= (u^(2))/(2g)`
`:.` Distance travelled in round trip `= 2 xx (u^(2))/(2g) = (u^(2))/(g)`.
When velocity of projection `(u)` is doubled, distance travelled becomes `4` times. However, displacement continues to be zero.
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Knowledge Check

  • When the velocity of a body is doubled its?

    A
    Momentum is double
    B
    Kinetic energy is doubled
    C
    Acceleration is doubled
    D
    Potential energy is doubled

  • A ball thrown vertically upwards with an initial velocity of 1.4 m/s returns in 2s. The total dispalcement of the ball is

    A
    22.4 cm
    B
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    C
    44.8 m
    D
    33.6 m

  • A body thrown vertically upwards reaches a maximum height h. It then returns to ground. Find the distance travelled and the displacement.

    A
    2h, 0
    B
    h, 0.
    C
    0,2h
    D
    0, h

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