Question

Find the components of vtot along

the x and y axes in the figure below, where
theta = 25.0°
and
vtot = 6.08 m/s.
Find Vtotx and vtoty

Answer 1

The x-component (Vtotx) and y-component (vtoty) of the total velocity (vtot) at 25.0° angle are calculated using the cosine and sine functions respectively of the given angle, with the magnitude of vtot being 6.08 m/s.

Step-by-step explanation:

To find the components of the total velocity (vtot) along the x and y axes, we use trigonometry since the velocity vector forms an angle with these axes. With θ = 25.0° and vtot = 6.08 m/s, the x-component (Vtotx) is found using the cosine function, while the y-component (vtoty) is found using the sine function.

The calculations are as follows:

• Vtotx = vtot × cos(θ) = 6.08 m/s × cos(25.0°)
• vtoty = vtot × sin(θ) = 6.08 m/s × sin(25.0°)

By computing these, we obtain the x-component and y-component of the total velocity, representing the velocity along the horizontal and vertical directions respectively.

Answer 2

The components of Vtot along the x- and y-axes are found using the trigonometric functions cosine and sine. Vtotx equals Vtot times the cosine of theta, and Vtoty equals Vtot times the sine of theta for a given angle.

Step-by-step explanation:

To find the components of Vtot along the x- and y-axes when Vtot = 6.08 m/s and theta = 25.0°, we will use trigonometry. The x-component (Vtotx) and the y-component (Vtoty) of a vector can be found using the cosine and sine functions, respectively, of the angle theta.

The component Vtotx is found by multiplying Vtot by the cosine of theta:
Vtotx = Vtot × cos(theta) = 6.08 m/s × cos(25.0°)

Similarly, the y-component Vtoty is found by multiplying Vtot by the sine of theta:
Vtoty = Vtot × sin(theta) = 6.08 m/s × sin(25.0°)

After calculations, the exact values for Vtotx and Vtoty will be determined and will represent the directional components of the velocity vector along the x-axis (horizontal) and the y-axis (vertical), respectively.