A ball is projected from point \(A\) with velocity \(20\) ms –1 at an angle \(60^\circ\) to the horizontal direction. At the highest point \(B\) of the path (as shown in figure), the velocity \(v\) (in ms –1 ) of the ball will be:
Question 2.
A bullet is fired from a gun at the speed of \(280~\text{ms}^{-1}\) in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is: \(\left(g=9.8~\text{m/s}^{2}, \sin30^{\circ}=0.5\right)\)
Question 3.
A ball is projected with a velocity of \(10~\text{m/s}\) at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:
Question 4.
A cricket ball is thrown by a player at a speed of \(20\) m/s in a direction \(30^\circ\) above the horizontal. The maximum height attained by the ball during its motion is: (Take \(g=10\) m/s2)
Question 5.
A car starts from rest and accelerates at \(5~\text{m/s}^{2}.\) At \(t=4~\text{s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6~\text{s}?\)
(Take \(g=10~\text{m/s}^2\))
Question 6.
A projectile is fired from the surface of the earth with a velocity of \(5~\text{m/s}\) and at an angle \(\theta\) with the horizontal. Another projectile fired from another planet with a velocity of \(3~\text{m/s}\) at the same angle follows a trajectory that is identical to the trajectory of the projectile fired from the Earth. The value of the acceleration due to gravity on the other planet is: (given \(g=9.8~\text{m/s}^2\) )
Question 7.
The velocity of a projectile at the initial point \(A\) is \(2\hat i+3\hat j~\text{m/s}.\) Its velocity (in m/s) at the point \(B\) is:
Question 8.
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:
Question 9.
A missile is fired for a maximum range with an initial velocity of \(20~\text {m/s}.\) If \(g=10~\text{m/s}^2,\) then the range of the missile will be:
Question 10.
The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is:
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Question 1.
A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on level ground, the magnitude of change in its momentum will be:
Question 2.
For a projectile projected at angles \((45^{\circ}-\theta)\) and \((45^{\circ}+\theta)\), the horizontal ranges described by the projectile are in the ratio of:
Question 3.
A particle \((A)\) is dropped from a height and another particle \((B)\) is projected in a horizontal direction with a speed of \(5\) m/s from the same height. The correct statement, from the following, is:
Question 4.
If two projectiles, with the same masses and with the same velocities, are thrown at an angle \(60^\circ\) and \(30^\circ\) with the horizontal, then which of the following quantities will remain the same?
Question 5.
Two particles are projected with the same initial velocity, one makes an angle \(\theta\) with the horizontal while the other makes an angle \(\theta\) with the vertical. If their common range is \(R\), then the product of their time of flight is directly proportional to:
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