A cannon ball is fired from point A with a horizontal muzzle velocity of 120 m/s. Ifthe cannon is located at an elevation of 60 m above the ground, determine the time for the cannon ball to strike the ground and the range R. y A 120 u's 6) m
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- .A Projectile with a muzzle velocity of 550 m/sec is fired from a gun on top of a cliff 460 m above sea level. If the projectile hits the ocean surface 49.2 seconds after being fired, determine: a. The angle of elevation of the gun; b. The range c. The highest point attained above the cliff. y V, H water surface (w.s.) RMax Height = V;*sin's (visine) 28 28 Max Ronge = v? sin 20 Vi Height 8 = 9. 81 m/sz Range 1.) A very small cannon (very small, meaning we can disregard its size) has a muzzle velocity (velocity of the projectile as it leaves the barrel) of 30 m/s and is at an angle of 35° from the ground. a.) What is the Max Height? b.) What is the Range? Somple . Diagrom Vi = inital velocty cmuzzle velocity) 0 = ongle from the grond Vi = 30 m/e Height e= 350 Ronge a) Monx Height : (30) (ain 5) Max Height = V;? sin?e 28 15- 09 m R(9.81) b.) Ronge : v.* sin 20 (30)2 sin (70*) Ronge = 86.21M * Incicode your final answers. In this case, I used a boxprojectile is fired at vo = 407.0 m/s at an angle of = 67.8° with respect to the horizontal. ssuming no air resistance, what is the range R of me projectile? R = m
- 1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- zontal distance will it cover before it strikes the level plain? Ans. r 1340 ft 1105. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- zontsl.A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?A particle is projected at an angle of 60 degree and a velocity of 70 m/s and taking gravity as 10m/s^2? a. Compute the maximum height of a particle. b. find the equation of trajectory. c. fnd the height of the particle when the horizontal distance is 70 m. h. Find the horizontal distance distance when the height of the particle is 100m.
- A projectile is fired with an initial speed of 36.6 m/s at an angle of 44.0 degrees above the horizontal on a long flat firing range. C.Determine the total horizontal distance covered (that is, the range). D.Determine the speed of the projectile 1.10 ss after firing.1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.A cannon at an elevation of 2000 feet above sea level fires a missile upward at an angle of 45 degrees to hit a target on a boat at sea on the far side of a mountain. The missile just barely clears the top of the mountain and hits the target. The cannon is 5 horizontal miles from the top of the mountain. Ignore air resistance. a. Determine the firing velocity of the missile. b. Determine the height of the mountain. c. Determine the total range of the missile (distance from cannon to target)
- 1106. A projectile is fired with an initial velocity of v. ft per sec upward at an angle of 0° with the horizontal. Find the horizontal distance covered before the projectile returns to its original level. Also determine the maximum height attained by the projectile. v.? sin 2 0 ;h v. sin? 6 2 g Ans. I = %3D 1107 The oon ahA golfer strikes a golf ball on level ground.The ball leaves the ground with an initial velocity of 42 m/s [32oabove horizontal].a. Draw a vector diagram to describe the situation of the of golfball with initial velocity.b. Find the range (horizontal distance) of the golf ball travelled.c. Find the maximum height (vertical distance) the golf ballreachedAn object is shot from the edge of a cliff 125m above the ground level with an initial speed of 105m/s at an angle of 37.0° with the horizontal. a. Determine the time taken by the projectile to hit the ground. b. Determine the range of the projectile as measured from the base of the cliff. c. At the instant just before the projectile hits the ground, find the horizontal and vertical components of its velocity.