John throws a ball with a velocity of 30 m/s at an angle of 60 degrees. What is the horizontal component of the velocity?
1 answer:
The horizontal component of the velocity is equal to: D. 15 m/s.
<u>Given the following data:</u>
- Velocity = 30 m/s
- Angle = 60°
To determine the horizontal component of the velocity:
The horizontal component of the velocity represents the influence of velocity in displacing an object or projectile in the horizontal direction.
Mathematically, the horizontal component of velocity is given by the formula:
Substituting the given parameters into the formula, we have;
Horizontal component, Vx = 15 m/s
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Answer:
a) 1.95 m/s
b) 5.56 m
Explanation:
Given that:
Velocity of the skier = 14.3 m/s
For the skier moving in the direction of the wave, we have:
Period (T) = 0.450 s
Relative velocity (V) of the skier in regard with the wave =
where:
= velocity of the skier
= velocity of the wave
The wavelength can be written as:
---------------> Equation (1)
For the skier moving opposite in the direction of the wave, we have:
Period (T) = 0.342 s
Relative velocity (V) of the skier in regard with the wave =
The wavelength can be written as:
------------------> Equation 2
Equating equation (1) and equation (2) and substituting = 14.3 m/s ; we have:
Collecting the like terms; we have:
b)
The Wavelength of the wave can be calculated using :
λ ≅ 5.56 m