### Projectile Motion: Understanding the Basics and Beyond

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### Questions

1. A projectile of mass 1 kg has two mutually perpendicular velocities 3m/s, 4 m/s at two different instances of time, during its path. What is its minimum kinetic energy?

2. A particle starts from origin of x,y coordinates at t = 0 and moves in x-y plane with a constant acceleration ‘α’ in y-direction. It’s equ- -ation of motion is, y =βx2. What is its velocity along x-direction ?

3. The equation of a projectile is y = px - qx2 . then R = ?

4) A projectile is projected at an angle 60° with the horizontal at 20 m/sec. At the instance, when its velocity makes an angle 30° with horizontal, the radius of curvature of its path is ------ (g = 10 m/s2)

5) If V1,V2 are the velocities at the end of a focal chord of the path of a particle and u is the horizontal component of velocity of projection, then u= ------ ?

6. A body is projected from the top of a tower of height ‘H’. The hori- -zontal velocity ‘V0’ , so that the body hits the inclined plane perpe- -ndicularly is ---- ?

7) A Projectile of mass(m) is projected with velocity ‘u’ at an angle (θ)with the horizontal. Find the change in its momentum in time = t is

8) A projectile is projected at an angle ‘θ’ with the horizontal with velo- -city ‘u’. After how much time, its velocity (v) is perpendicular to ‘u’. What is ‘v’ ?

9) Two balls are projected from the top and bottom of a tower so as to fall in a basket (B) on the horizontal ground. Which is at a distance 30√3 mt from the tower, as shown. Find the height of the tower

10) A particle is projected from the ground with an initial speed of ‘u’ at an angle ‘θ’ with horizontal, the average velocity of particle be- -tween its point of projection and highest point of trajectory is ......

11)The speed of a projectile at its maximum height is times its initial speed. If the range of the projectile is p times the maximum height attained by it,then p = -------

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