with detailed solution formulas given used it handwritten neat and clean

3. From the height of I'm, the slug of the bulet left the barrel of a gun with a muzzle velocity of 50 m/s, after it was fined horizontally. How for will the slug strike the ground away from the joint directly below the gun's barrel where it was fired? 4. a baseball left the bat after it was hit with a velocitys of some at an angle of to" from the horizontal plane . If the baseball was oom above the ground when it was hit by the bat, after how many seconds will it strike the ground? 5. From a height of lom above the surface of planet x, a small piece of stone was dropped and it hit the surface of the planet after I secEnds. If your mass here on earth is 50 kg, what will be your weight on planet x? 6. Find the travel time of a motorcycle which travelled with an initial velocity of zoku and an acceleration of 15mke to cover a distance of 10 km. 7. a crate of fruits has a mass of 75 kg. It was pushed down by an inclined force of 5001, directed at an angle of 45" measured from the horizontal plane . The coefficient of kinectic friction between the bottom of the crate and the surface were the crate was aliding was 025. Determine the acceleration of the crate. 8. a wooden box has a mass of 50 kg and is motionles on a surface whose angle of inclination is 70. any additional mass, no matter how smal, that will be placed on Top of the wooden box will cause it to start sliding down the inclined surface. Find the maximum static friction force that prevented the worden box from sliding .Projectile motion Vertical component, Vo Horizontal Component, Vo Voy = Vo sine Vox = Vocost R 1 13 1 As Freely Falling Body : As Rectilinear motion : Vfy = Voy + gt Vfy = Vox y = Vogt $ 2 gt ? * = Voxt LO MO Boron 10.81 Vfu 2= Voy2+ 2gy or Vry =Voy? + 2gy uminium 6.982/ onnatione + : Vo is downward um : Vo is upward Germaniu 3 2 72.630 For Displacement of a projectile or ) For Final Valucity of a Panictile Sn Tin r= v x 2 + y 2 118.71 24 = VVox 2 + Voy ? da eadnewtour Can of Gravitation GM, M 2 4 r 2 6 = 6. 67 x 10- " N. m?/ leg? r : distance between the particles canter to center ) F: common gravitational force of attraction 6 ME ME : mans of Earth = 5. 98 x 10 us RF - radius of Earth = 6.38 x 10 msolve the following problems : 1. while the horse was running, it jumped over a fence and its front feet landed back on the ground sseconds after its rear feet ticked off and left the ground. () If the horse jumped at an angle of 45 measured from the ground, what was its initial jumping velocity? (b) what maximum height of fence can the horse cross over by jumping using its initial velocity? 2. a store was thrown vertically upward with a velocity of 15 my. Find two fined velocities of the stone when it is located com above the ground at the point where it was thrown.Kinematics Vf = Vo + at 24 : Final velocity Vf = 1702 + 2 ax Vo : Initial Velocity x: distance x = Not + + at 2 a : acceleration X = No + Uf t : time N Rectilinear motion 74 = Not + gt of = VO 2 + 2gg or Vf = VV0 2 + 2gy y = Not + 2g+ 2 Using quadratic equation, t = 16 + Jb2 - 4ac Operations + : if abject going down - : if dict gring up