Task 3: Projectile motion a) Brynn, who is standing on her balcony, is surprised by a pigeon and throws a flowerpot up in the air at 2.1 m/s. It takes 3.0s for the flowerpot to smash to the ground. The flowerpot experiences acceleration due to gravity of 9.81 m/s' [down]. Determine how high Brynn's balcony is from the ground, and how fast the flowerpot was moving just before it smashed to the ground. Given: Let [down] be positive a = 9.81 m/ s , At= 3.0s , Viy = - 2.1 m/s Unknown: A d =? Vzy = ? Equation: A d = Viy At+ 1/2a(At 42 Vzy = Vy taAt Solve: A d = V At+ 1/2a (At 2z 2.1 m/s x 3.0 s + 1/2 x 9.81m/ s x (3.0s 23 = 37.845 m [down] V2y Viy +aAt = - 2.1 m/s + 9.81 m/ 2 x 3.0s = 27.33 m/s [down] Therefor Brynn's balcony is 38m from the ground, and the flowerpot was moving at 27m/s[down] just before it hit the ground . b) A water balloon is fired at 34.0 m/s from a water cannon, which is aimed at an angle of 180 above the ground. The centre of the cannon's target (which has a radius of 1.0 m) is painted on the asphalt 42.0 m away from the water cannon