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Show that the trajectory of an object th...

Show that the trajectory of an object thrown at certain angle with the horizontal is a parabola .

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Show that the trajectory of an object thrown at certain angle with the horizontal is parabola.

Show that the trajectory of an object thrown at a certain angle with the horizontal is a parabola.

Knowledge Check

  • A body is projected with a speed u at a angle theta with the horizonatl. The radius of curvature of the trajectory, when it makes an angle ((theta)/(2)) with the horizontal is (g-acceleration due to gravity)

    A
    `(u^(2) cos^(2)theta sec^(3)((theta)/(2)))/(sqrt(3)g)`
    B
    `(u^(2) cos^(2)theta sec^(3)((theta)/(2)))/(2g)`
    C
    `(2u^(2) cos^(2)theta sec^(2)((theta)/(2)))/(g)`
    D
    `(u^(2) cos^(2)theta sec^(3)((theta)/(2)))/(g)`

  • The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30^@ . After walking 120 metres towards it on level ground the elevation is found to be 60^@ . Then the height of the object (in metres ) is

    A
    120
    B
    `60sqrt3`
    C
    `120sqrt3`
    D
    60

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    A stone is thrown horizontally with the velocity u=15m/s from a cover of height H=25m. Find (i) the time during which the stone is in motion, (ii) the distance from the tower base to the point where the stone will touch the ground (iii) the velocity v with which it will touch the ground and (iv) the angle theta the trajectory of the stone makes with the horizontal at the point stone touches the ground (Air resistance is to be neglected). (g=10ms^(-2))

    What is the angles madeby the trajectory of a projectile with horizontal at maximum height ?

    A projectile is thrown in the upward direction making an angle of 60^@ with the horizontal with a velocity of 140 ms^-1 . Then the time after which its velocity makes an angle 45^@ with the horizontal is (Acceleration due to gravity g=10 ms^-2 )

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