Answered

Whether you're a student or a professional, IDNLearn.com has answers for everyone. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

A plane travels 2.5km at an angle of 35 degrees to the ground and then changes direction and travels 5.2km at an angle of 22 degrees to the ground. What is the magnitude and direction of the plane's total displacement?

Sagot :

The magnitude and direction of the plane's total displacement will be 7.66 km, 26.20° to the ground.

What is displacement?

It should be noted that displacement is a vector quantity which explains the change in the distance to the overall change in position of the object.

The sine and cosine function can be used to solve for the resultant x and y components.

Resultant x = 2.5 cos 35 + 5.2 cos 22

= 6.87 km

Resultant y = 2.5 sin 35 + 5.2 sin 22

= 3.38 km

The resultant displacement is calculated using hypotenuse equation:

displacement = ✓(6.87² + 3.38²)

displacement = 7.66 km

The resultant angle will be:

θ = tan^-1 (3.38 / 6.87)

θ = 26.20°

Therefore the magnitude and direction will be 7.66 km, 26.20° to the ground.

Learn more about displacement on:

https://brainly.com/question/6391639

#SPJ1

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.