Question

8. The horizontal and vertical components of a velocity are 46.1 m/s and 62.5 m/s respectively. What is the magnitude and direction of the velocity? Answer: 77.7 m/s, 53.6°​

Answer 1

The magnitude of the velocity is 77.7 m/s, and the direction is 53.6°.

Step-by-step explanation:

To find the magnitude and direction of the velocity, we need to use the Pythagorean theorem and trigonometry. The magnitude of the velocity is given by the square root of the sum of the squares of the horizontal and vertical components:

magnitude = sqrt(46.1^2 + 62.5^2)

magnitude = 77.7 m/s

The direction of the velocity is given by the arctangent of the vertical component divided by the horizontal component:

direction = atan(62.5 / 46.1)

direction = 53.6 degrees

Thus, the magnitude of the velocity is 77.7 m/s, and the direction is 53.6°.