Two pegs and thrown with speeds in the ratio acquired the same heights. If is thrown at an angle of with the horizontal, the angle of projection of will be
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A body projected at an angle with the horizontal has a range . If the time of flight is , then the horizontal component of velocity is
As we know,
Given,
The range of a projectile is when the angle of projection is . For the same velocity of projection and range, the other possible angle of projection is
Horizontal range .
Range is same for angle of projection and .
If the angles of projection of a projectile with same initial velocity exceed or fall short of by equal amounts, then the ratio of horizontal ranges is
For complementary angles of projection and with same initial velocity , range is same.
The equation of a projectile is The angle of projection is given by
zero
Comparing the given equation with
Equation of trajectory of projectile is given by , where and are in meter. The maximum range of the projectile is
Comparing the given equation with the equation of trajectory of a projectile,
we get,
and
A stone is just released from the window of a moving train moving along a horizontal straight track. The stone will hit the ground following a
straight line path
parabolic path
circular path
hyperbolic path
Now,
the horizontal velocity of the stone will be the same as that of the train. In this way, the horizontal motion will be uniform. The vertical motion will be controlled by the force of gravity. Hence it is accelerated motion. The resultant motion is a parabolic trajectory.
A ball is thrown from rear end of the compartment of train to the front end which is moving at a constant horizontal velocity. An observer A sitting in the compartment and another observer B standing on the ground draw the trajectory. They will have
equal horizontal and equal vertical ranges
equal vertical ranges but different horizontal ranges
different vertical ranges but equal horizontal ranges
different vertical and different horizontal ranges
A stone is projected horizontally with velocity from a height . It's time of flight is:
A body of mass is projected at an angle of with the horizontal. The trajectory of the body is observed to pass through a point . If is time of flight, then its momentum vector, at time , is [Take ]
Equation of trajectory of projectile
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