Question

You launch a projectile with an initial speed of 34.2 m/s from the top of a building 40.0 m above the ground, at an angle of 56.9 degrees above the horizontal. How far from the base of the building does the projectile land on the ground?

		109.1 m
		120.0 m
		163.5 m
		130.8 m

Answer 1

Griven, 0 = 56.98 , H = yom, Vo = 34.2 m/s To find: Horizontal distance (d): Vox = 34.2 m/s x coso = 34.2 m/s 8 cos (56.90) Vox = 18.67m/s 28.65 m/s Voy = 34.2 m/s X sino = use earvation, H = Voyt - 1/2 gt² yom = 28.65 m/s t - ₂ x 9.8 m/s2 t² 4.0 +² - 28.65€ +40=0 on solving time period (t), t = 3.5us and 2. 35 total time = 5.84s. Range = von xt = 18.67m/s 85.845 Range = 109. Im - Horizontal distance. Ang