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A particle is projected with velocity m/s. If , the radius of curvature of its trajectory at the highest point is:
3.6 m
7.2 m
1.8 m
9.0 m
A projectile is launched with an initial velocity at an angle with the horizontal. At the highest point of its trajectory, the ratio of its potential energy to its kinetic energy is:
tan²θ
cos²θ
sin²θ
cot²θ
A ball is thrown horizontally from a cliff edge with velocity . Another ball is dropped vertically from the same point at the same instant. Neglecting air resistance, which statement is TRUE about the time taken for each ball to reach the ground below?
The thrown ball hits the ground first.
The dropped ball hits the ground first.
Both balls hit the ground at the same time.
The time taken depends on the mass of the balls.
A projectile is launched horizontally with speed from a height . If another projectile is launched horizontally from the same height with speed , how does the horizontal range of the second projectile compare to the first?
Same as the range of the first projectile
Twice the range of the first projectile
Four times the range of the first projectile
Square root of two times the range of the first projectile
A projectile is launched horizontally from a height with velocity . At what angle below the horizontal will the velocity vector be pointing when the projectile has fallen a vertical distance of ?
arctan(sqrt(g * h) / v)
arctan(v / sqrt(g * h))
arcsin(sqrt(g * h) / v)
arccos(v / sqrt(g * h))
A stone is projected horizontally with a velocity from the top of a tower of height . At the same instant, another stone is dropped vertically from the same point. Which of the following graphs correctly represents the variation of the relative speed () between the two stones with time () until the first stone hits the ground?
A horizontal straight line
A straight line passing through the origin
A parabola
A hyperbola
A ball is thrown at an angle of 30 degrees with the horizontal. At what point in its trajectory is the vertical component of its velocity zero?
At the highest point of its trajectory
Just after being thrown
Just before hitting the ground
At half the maximum height