8. A projectile is fired at a 40° to the horizon, at a height of 0.0m, with an initial velocity of 20m/s. а.Make a labeled diagram showing the angle, Vi

, Vix , Viy b.Calculate the horizontal component of the initial velocity (Vix). Show your work below. С.Calculate the vertical component of the initial velocity (Viy). Show your work below. d.Calculate the time of flight for the projectile. (Hint: Treat the problem as if the projectiles launched straight upwards, with the initial velocity of Viy and a final velocity that is equal in magnitude but opposite the direction of Viy. Show equation, sub w/ units and answer w/ units. Calculate the maximum height of the projectile. (Remember, time to top is equal to ½ of the time of flight.) Show your work below.е. f.Calculate the range of the projectile. (Remember, when air resistance is ignored, there's no acceleration in the horizontal direction, so range is directly related to Vix. Show your work below