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disa [49]
4 years ago
9

If Jason is playing football and Jason runs with the football west at a speed of 40.0 m/s and then turns and goes north at 5.0 m

/s, what is the resultant velocity and 0?
Physics
1 answer:
Aliun [14]4 years ago
3 0

The resultant velocity is 40.3 m/s at 7.1 degrees north of west

Explanation:

Jason's motion is divided into two parts.

At first, he moves west with a speed of

v_x = 40.0 m/s

Then, he moves north with a speed of

v_y = 5.0 m/s

The two velocities are at right angle, so they form the sides of a right triangle, and the magnitude of the resultant velocity can be calculated using Pythagorean's theorem:

v=\sqrt{v_x^2+v_y^2}=\sqrt{40.0^2+5.0^2}=40.3 m/s

And the direction can be found by using

\theta = tan^{-1}(\frac{v_y}{v_x})=tan^{-1}(\frac{5.0}{40.0})=7.1^{\circ}

So, 7.1 degrees north of west.

Learn more about vector addition here:

brainly.com/question/4945130

brainly.com/question/5892298

#LearnwithBrainly

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