Motion in a Straight Line


  1. A body starts from rest, what is the ratio of the distance travelled by the body during the 4th and 3rd seconds ?









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    D4
    =
    0 + (a/2) × (2 × 4 - 1)
    =
    7
    D30 + (a/2) (2 × 3 - 1)5

    Correct Option: A

    D4
    =
    0 + (a/2) × (2 × 4 - 1)
    =
    7
    D30 + (a/2) (2 × 3 - 1)5


  1. ​Which of the following curve does not represent motion in one dimension?









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    In one dimensional motion, the body can have at a time one velocity but not two values of velocities.

    Correct Option: B

    In one dimensional motion, the body can have at a time one velocity but not two values of velocities.



  1. A boy standing at the top of a tower of 20m height drops a stone. Assuming g = 10 ms–2, the velocity with which it hits the ground is









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    Here, u = 0
    We have, v² = u² + 2gh
    ⇒ v = √2gh = √2 × 10 × 20 = 20 m/s

    Correct Option: B

    Here, u = 0
    We have, v² = u² + 2gh
    ⇒ v = √2gh = √2 × 10 × 20 = 20 m/s


  1. A man of 50 kg mass is standing in a gravity free space at a height of 10 m  above the floor. He throws a stone of 0.5 kg  mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be:​









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    No external force is acting, therefore, momentum is conserved.
    By momentum conservation,
    50 u + 0.5 × 2 = 0
    where u is the velocity of man.

    u = -
    1
    ms-1
    50

    Negative sign of u shows that man moves upward.
    Time taken by the stone to reach the ground = 10/2 = 5s

    Distance moved by the man 5 × (1/50) = 0.1 m
    ∴ when the stone reaches the floor, the distance of the man above floor = 10.1 m

    Correct Option: B

    No external force is acting, therefore, momentum is conserved.
    By momentum conservation,
    50 u + 0.5 × 2 = 0
    where u is the velocity of man.

    u = -
    1
    ms-1
    50

    Negative sign of u shows that man moves upward.
    Time taken by the stone to reach the ground = 10/2 = 5s

    Distance moved by the man 5 × (1/50) = 0.1 m
    ∴ when the stone reaches the floor, the distance of the man above floor = 10.1 m



  1. A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?​​
    Take g = 10 m/s².









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    For part AB
    From 3rd equation of motion
    v² = u² – 2gH

    0 = u² – 2g(H/2) = u² – gH

    H =
    =
    10²
    = 10 m
    g10

    Correct Option: A

    For part AB
    From 3rd equation of motion
    v² = u² – 2gH

    0 = u² – 2g(H/2) = u² – gH

    H =
    =
    10²
    = 10 m
    g10