Question

Trina launches a water balloon at a speed of 11.9 meters per second, in the positive x-direction, at an angle of 24.9° above horizontal. What are the components of the velocity vector right before the balloon strikes the ground?
Select one:

a. {v_{x}} = 10.8 m/s, {v_{y}} = -5.01 m/s

b.{v_{x}} = 5.27 m/s, {v_{y}} = -10.8 m/s

c. {v_{x}} = 10.8 m/s, {v_{y}} = 5.01 m/s

d.{v_{x}} = -5.27 m/s {v_{y}} = 10.8 m/s

Answer 1

Answer:

a. {v_{x}} = 10.8 m/s, {v_{y}} = -5.01 m/s

Explanation:

The initial velocity components are

Horizontal 11.9cos24.9 = 10.8 m/s

Vertical     11.9sin24.9 = 5.01 m/s    (where up is assumed positive)

In the absence of air resistance, the horizontal velocity will remain unchanged and, assuming the ground is horizontal, the vertical velocity will have completely reversed directions.