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The equation of a projectile is . The horizontal range is:

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Important Questions on Kinematics
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If a projectile is fired at an angle to the vertical with velocity , then maximum height attained is given by:

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If is the maximum horizontal range of a particle, then the greatest height attained by it is :

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Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is and its maximum height is , then the maximum height of the other will be :

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A projectile is thrown from a point in a horizontal plane such that its horizontal and vertical velocity components are and respectively. Its horizontal range is:

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A projectile is thrown into space so as to have the maximum possible horizontal range equal to . Taking the point of projection as the origin, the coordinates of the point where the velocity of the projectile is minimum are :

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A particle is fired with velocity making angle with the horizontal. What is the change in velocity when it is at the highest point?

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A particle is fired with velocity making angle with the horizontal, the change in speed is :

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An arrow is shot into the air. Its range is metres and its time of flight is . If the value of is assumed to be , then the horizontal component of the velocity of arrow is :
