A ball is thrown with a velocity of 3.0 m/s at an angle of 30o below horizontal. Its vertical velocity is zero when:
Question 10 options:
The ball is at its maximum height
Just before the ball hits the ground
When the ball changes direction
Never during the ball’s flight
The correct answer is: The ball is at its maximum height.
The vertical velocity of the ball is zero when it is at its maximum height. So, the correct answer is:
The ball is at its maximum height.
To determine when the ball’s vertical velocity is zero, we need to consider the motion of the ball and how it changes throughout its flight.
First, let's break down the initial velocity of the ball into its horizontal and vertical components. The given velocity is 3.0 m/s at an angle of 30 degrees below the horizontal.
The horizontal component of the velocity can be found by multiplying the magnitude of the velocity (3.0 m/s) by the cosine of the angle:
Horizontal velocity = 3.0 m/s * cos(30 degrees) ≈ 2.6 m/s
The vertical component of the velocity can be found by multiplying the magnitude of the velocity (3.0 m/s) by the sine of the angle:
Vertical velocity = 3.0 m/s * sin(30 degrees) ≈ 1.5 m/s
Now, let's analyze the motion of the ball. As the ball moves upward against the force of gravity, its vertical velocity decreases. At the highest point of its trajectory, the ball momentarily stops and changes direction before starting to descend. At this point, its vertical velocity is zero.
Therefore, the correct answer is: The ball is at its maximum height.