A ball is thrown with an initial velocity of 65 feet per second, at an angle of 55° with the horizontal. Find the horizontal component of the velocity. Round to two decimal places.
Vo(h) = 65cos55 = 37.28Ft/s.
32
To find the horizontal component of the velocity, we need to use the equation for horizontal velocity:
Horizontal Velocity = Initial Velocity * cos(angle)
In this case, the initial velocity is given as 65 feet per second, and the angle is given as 55°.
Using the formula, we can calculate the horizontal component of the velocity:
Horizontal Velocity = 65 ft/s * cos(55°)
Let's calculate this:
Horizontal Velocity = 65 ft/s * cos(55°)
Using a scientific calculator or an online calculator, we find that cos(55°) is approximately 0.5736.
Now, substitute this value into the equation:
Horizontal Velocity = 65 ft/s * 0.5736
Calculating this gives us:
Horizontal Velocity ≈ 37.29 ft/s
Therefore, the horizontal component of the velocity is approximately 37.29 feet per second (rounded to two decimal places).
To find the horizontal component of the velocity, we need to determine the velocity in the horizontal direction, which remains constant throughout the motion.
The horizontal and vertical components of a vector can be determined by using trigonometric functions. In this case, we can use the cosine function to find the horizontal component.
Given:
Initial velocity (v) = 65 feet per second
Angle with the horizontal (θ) = 55°
Use the formula:
Horizontal component of velocity = v * cos(θ)
Now, substitute the given values into the formula:
Horizontal component of velocity = 65 * cos(55°)
To calculate this using a scientific calculator, follow these steps:
1. Enter 55 (angle in degrees).
2. Press the "cos" button (cosine function).
3. Multiply the result by 65.
The result will be the horizontal component of the velocity.
Rounding to two decimal places, the horizontal component of the velocity is approximately 33.61 feet per second.