Question

Austin kicks a soccer ball with an initial velocity of 18.0 m/s at an angle of 35.0°. What are the horizontal and vertical components of the initial velocity? Round your answers to the nearest tenth.

Answer 1

The horizontal component of the initial velocity is 14.7 m/s, and the vertical component is 10.3 m/s.

Step-by-step explanation:

To find the horizontal and vertical components of the initial velocity, we can use trigonometry. Given that the initial velocity is 18.0 m/s and the angle is 35.0°, we can use the equations:

Horizontal component:

vx = v * cos(θ)

Vertical component:

vy = v * sin(θ)

Plugging in the values, we have:

vx = 18.0 * cos(35.0)

vy = 18.0 * sin(35.0)

Rounding to the nearest tenth, the horizontal component is 14.7 m/s and the vertical component is 10.3 m/s.

Answer 2

The initial horizontal component is 18 cos(35) = 14.745 m/s (rounded)

The initial vertical component is 18 sin(35) = 10.324 m/s (rounded)