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- Unreasonable Results (a) Find the maximum range of a super cannon that has a muzzle velocity of 4.0 km/s. (b) What is unreasonable about the range you found? (c) Is the premise unreasonable or is the available equation inapplicable? Explain your answer. (d) If such a muzzle velocity could be obtained, discuss the effects of air resistance, thinning air with altitude, and the curvature of the Earth on the range of the super cannon.A cannonball is shot from ground level with an initial speed of75.0 m/s. If the maximum height reached by the ball is 25 m,calculate:a) the angle at which the ball left the cannon with respect to thehorizontal,b) how far from the cannon the ball landed,c) the time of flight of the ball. Please include formulas.1. When fired at this angle, how long will the cannonball remain in the air? Explain please. :))
- A projectile is shot at an inclination of 450 from the ground with a speed of 250 mps. (a) Derive the equation for the horizontal displacement of the projectile at any time t. (b) using the result in (a), find the horizontal displacement when t = 25 sec. (PLEASE SHOW COMPLETE SOLUTION)F(t)=-16t^2 + 192t Find a time when the projectile reaches its maximum height. What is the maximum height?  B) find & interpret f(3)Use a graphing utility to obtain the path of a projectile launched from the ground (h = 0) at the specified values of θ = 35°, v0 = 300 feet per second. In the exercise, use the graph to determine the maximum height and the time at which the projectile reaches its maximum height. Also use the graph to determine the range of the projectile and the time it hits the ground. Round all answers to the nearest tenth.
- 3. An object is fired at a velocity of 20 ms-1at 50 degrees to the horizontal. Determine the: a) Maximum height attained b) Time of travel c) Projectile rangeArugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive × component. Suppose the player runs at speed 4.5 m/s relative to the field while he passes the ball with velocity O Bp relative to himself. If O Bp has magnitude 6.4 m/s, what is the smallest angle it can have (relative to the positive direction of the x axis) for the pass to be legal?A fire hose ejects a stream of water at an angle of 38.0degrees above the horizontal. The water leaves the nozzle with a speed of 23.6m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?
- Kindly fill in the blanks. For a projectile lunched with an initial velocity of v0 at an angle of θ (between 0 and 90o): a) Derive the general expression for maximum height hmax and the horizontal range R. b) For what value of θ gives the highest maximum height? The components of v0 are expressed as follows: vinitial-x = v0cos(θ) vinitial-y = v0sin(θ)How do you find a projectile’s maximum height, flight time, and range? Give examples.To start an avalanche on a mountain slope, an artillery shell is fired with a initial velocity of 300m/s at 55.0º above the horizontal. It explodes on the mountainside 42s after firing. What are the x and y coordinate of the shell where it explodes, relative to its firing point