PhysicsA stone thrown vertically upward with 50 m/s velocity and g=10 m/s2. What will be the maximum height achieved by stone, net displacement and total distance covered by stone?

A stone thrown vertically upward with 50 m/s velocity and g=10 m/s2. What will be the maximum height achieved by stone, net displacement and total distance covered by stone?


  1. A
    125, 0, 250
  2. B
    250, 125, 125
  3. C
    200, 100, 0
  4. D
    None of above  

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    Solution:

    The maximum height achieved by the stone is 125 m, net displacement is zero and distance covered by the stone is 250 m.
    Given,
    Initial velocity, u=50 m/s
    Acceleration, a=10 m/s2
    Final velocity, v=0 m/s(after achieving maximum height, the stone is at rest)
    According to newton’s third equation of motion,
    v2=u2+2as  0=502+2(-10)
    s=125 m
    And the stone will fall to its initial position (on earth)
    So total displacement will be 0 and total distance will be twice the maximum height.
    Total distance,  =2s=250 m.
     
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