A car with a velocity of 20m/s at 30 degree to horizontal, what is the components of the velocity along the horizontal
V = 20*Cos30.
v sin(30º)
To find the components of the velocity along the horizontal, we need to use trigonometry. The velocity can be broken down into two components: one along the horizontal direction (x-axis) and one along the vertical direction (y-axis).
Given that the magnitude of the velocity is 20 m/s and the angle with respect to the horizontal is 30 degrees, we can use the trigonometric functions to find the desired components.
The component along the horizontal direction can be calculated using the cosine function:
Component along the x-axis = Velocity * cos(θ)
Where:
- Velocity = 20 m/s (given)
- θ (theta) = 30 degrees (given)
Plugging in the values:
Component along the x-axis = 20 * cos(30)
Next, we need to find the value of cos(30) which is a standard value.
To find the value of cos(30), we can use either a scientific calculator or refer to a trigonometric table. The value of cos(30) is √3/2 or approximately 0.866.
Component along the x-axis = 20 * 0.866
Therefore, the component of the velocity along the horizontal is approximately 17.32 m/s.