A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 38.8 m/s. At the same time, it has a horizontal velocity of 54.3 m/s.At what speed does the vehicle move along its descent path
A roller coaster travels 29.1 m at an angle of 34.0 above the horizontal. How far does it move horizontally?
cos(34) x 29.1 = 24.12499336
Potato
To find the speed at which the vehicle moves along its descent path, we can use the Pythagorean theorem, which relates the sides of a right triangle.
In this case, the vertical velocity (Vv) and the horizontal velocity (Vh) represent the two sides of the right triangle, and the speed along the descent path (Vp) is the hypotenuse.
The Pythagorean theorem is given by:
Vp^2 = Vv^2 + Vh^2
Let's substitute the given values into the formula:
Vp^2 = (38.8 m/s)^2 + (54.3 m/s)^2
Vp^2 = 1505.44 m^2/s^2 + 2952.49 m^2/s^2
Vp^2 = 4457.93 m^2/s^2
Now, we can take the square root of both sides to find the value of Vp:
Vp ≈ √4457.93 m^2/s^2
Vp ≈ 66.8 m/s
Therefore, the vehicle moves along its descent path at a speed of approximately 66.8 m/s.