Question

The components of a 10.8-meters-per-second velocity at an angle of 34.° above the horizontal are

9.0 m/s vertical and 6.0 m/s horizontal

13 m/s vertical and 7.5 m/s horizontal

7.5 m/s vertical and 13 m/s horizontal

6.0 m/s vertical and 9.0 m/s horizontal

Answer 1

6.0 m/s vertical and 9.0 m/s horizontal

Step-by-step explanation:

For the vertical component, we use the formula:

• Sin(34°) = y / 10.8

Then we solve for y:

• 0.559 = y / 10.8

• y = 6.0

And for the horizontal component, we use the formula:

• Cos(34°) = x / 10.8

Then we solve for x:

• 0.829 = x / 10.8

• y = 9.0

So the answer is " 6.0 m/s vertical and 9.0 m/s horizontal".