A projectile is launched at an angle of 50º with the horizontal and a speed of 25 m/s. a) What is the Range of the projectile? b) What is its height after 1.5 second? 5.
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- 5. A projectile is launched at an angle of 50° with the horizontal and a speed of 25 m/s. a) What is the Range of the projectile? b) What is its height after 1.5 second?5. A projectile is fired at a 60° angle as shown below. The projectile reaches a maximum height ymax above its initial position. The range of the projectile is 25 m, and the time of flight of the projectile is 3 s. Answer the following questions. 25 a) Find the initial x and y components of the velocity. b) How long does it take the projectile to reach its maximum height? c) What is the final height H of the projectile?1. A projectile is fired with an initial speed of 55m/s at an angle of 42° above the horizontal on a long flat firing range. Determine i. the maximum height reached by the projectile,
- 1. A projectile is shot upward at a 60.° angle with the ground at 65 m/s. a) What is the velocity of the projectile after 1.7s? b) How far away from the launch point will the projectile land?6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 -32x? feet per second. The height h of the projectile is modeled by h(x) = + x where x 1002 is the horizontal distance of the projectile from the firing point. a. At what horizontal distance from the firing point is the height of the projectile a maximum? b. Find the maximum height of the projectile. c. At what horizontal distance from the firing point will the projectile strike the ground?9. In Example 5, the maximum height reached by the projectile and the range of a projectile were calculated for a projectile launched from a height H above the ground and at an angle a, above the horizontal. Calculate the time of flight, tf, range, R, and maximum height, yMax, reached by the projectile for the following special cases: A. Case 1: The projectile is launched from the ground (H = 0). B. Case 2: The projectile is launched horizontally (ao = 0). 10. A projectile is launched from the ground. Assume the ground is horizontal. At what angle 0, above the horizontal should the projectile be launched so that the maximum height reached by the projectile and the range of the projectile are equal? 0. 11
- 49. Hanamichi Sakuragi has a height of 190 cm. He is about to make a shot in the 3-point line which is 7.5 m away from the basketball ring. If he shoots the ball without jumping and with his hand is 50 cm above his head and the angle of his shot is 45° from the horizontal. a. What must be the shot's velocity to make a 3-point shot? (Assume that the height of the ring is 3.05 m from the floor.)A baseball player hits a ball 1.1m above the plate at an angle of 42 degrees at a speed of 35 m/s. In order to hit a home run, the ball has to clear a 2.4 m tall wall, 120 m away from the plate. a) sketch the situation, including a coordinate system and the ball's trajectory. b)how many seconds is the ball in the air, which it reaches the wall? c) does the ball go over the wall for a home run? (find its vertical position at the appropriate time) d) what is the ball's speed and direction, as it reaches the wall?3. A student standing on a 25 m building wishes to hit a target which is 7 m tall and 40 m away. The student throws the ball horizontally. a) How long does it take the ball to strike the target? b) What is the initial velocity of the ball?
- Max 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 box1) A projectile is launched at 300 ?/s at an angle of 60 degrees.The projectile lands 500 m below its starting level in a valley. What is the horizontal Range for the projectile?1. A ball rolls off the edge of a table 1.44m above the floor and strikes the floor at a point 2m horizontally from the edge of the table. a. What is the time the ball was in the air? b. What is the initial velocity of the ball?