Question

1.) A cannonball is shot with an initial velocity of 80m/s at an angle of 40degrees to the horizontal. The cannonball flies over perfectly level terrain before impacting with the ground. a) What are the x and y components of its initial velocity? b) What is the maximum height of the cannonball? c) What is the time in flight?

Answer 1

a) The x andy components of its initial velocity is Vox = V cos 40° = (80 m/s) cos 40° = 61.28 m/s And Voy = * sin 40° = (80 m/s) sin 40° = 51.4 m/s b) The maximum height of the cannon ball is (v, sin 40°) 2g {(80 m/s) sin 40°)? = 134.9 m = 135 m 29.80 m/s) c) The time of flight is (80 m/s) sin 40° = = = (80 m/s) sin 40° -= 5.247 m = 5.25 m 9.80 m/s2