A projectile is launched from point A with speed vo= 38 m/s. Determine the value of the launch angle a which maximizes the range R indicated in the figure. Determine the corresponding value of R. Vo = 38 m/s A/α 43 m 10 m B
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- A projectile is fired from a cliff 190 feet above the water at an inclination of 45 degree to the horizontal ,with muzzle velocity of 45 feet per second. The height h of the projectile above the water is given by h(x)=-32x^2/((45)^2) +x+190 Where x is the horizontal distance of the projectile from the face of the cliff. (A) At what distance from the face of the cliff is the height of the projectile a maximum?An object is thrown with a projectile motion and it is observed from the horizontal component that the velocity at its maximum altitude is Vx = 15m/s. The projectile travels a horizontal distance x = 3.00 x 102. Determine the angle of the throw.A gun fires a shell with a velocity of 600 m/sec at an angle of 45°with the horizontal. Neglecting ail' resistance, (a) determine the range of thisgun, (b) determine the maximum height reached by the shell, and (c) determinethe time of flight of this shell on level ground.
- 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? Solution The components of v0 are expressed as follows: vinitial-x = v0cos(θ) vinitial-y = v0sin(θ)William Tell is said to have shot an apple off his son’s head with an arrow. If the arrow was shot with an initial speed of 50.0 m/s and the boy was 26.0 m away, at what launch angle above the horizontal did Bill aim the arrow? (Assume that the arrow and apple are initially at the same height above the ground. Hint: sin2θ = 2sinθcosθ)A projectile is fired with an initial speed of 36.6 m/sm/s at an angle of 44.0 ∘∘ above the horizontal on a long flat firing range. Part A Determine the maximum height reached by the projectile. Part B. Determine the total time in the air.
- A shooter aims horizontally at a target at the unknown distance d: the same height as the shooter with the initial bullet speed vo. Th bullet misses the target by the vertical distance h. What was the distance d? Calculate its numerical value for v0 = 1500 m/s and h=1.5 cm.A projectile is projected from the origin with a velocity of 35m/s at an angle of 33 degrees above the horizontal. What is the range of the projectile? (Answer in Meter)A cannon located at sea level fires a ball with initial speed 82 m/s and initial angle 45°.The ball lands in the water after traveling a horizontal distance 686 m. How much greater would the horizontal distance have been had the cannon been 30 m higher?