A football is thrown vertically with an initial velocity of 33m/s. Calculate the velocity of the ball when it’s height increased 5m

The velocity of the football at the given height is 31.48m/s.

Given the data in the question;

Final velocity;

To determine the velocity of the ball at the given height, we use the third equation of motion:

Where v is final velocity, u is initial velocity, s is distance or height and a is acceleration due to gravity( since the ball is under gravity, ) The football is going upward, Acceleration due to gravity acts in the opposite direction of the velocity, so it becomes NEGATIVE.

We substitute our given values into the equation

Therefore; the velocity of the football at the given height is 31.48m/s.

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The final velocity becomes 31.48 m/s

Explanation:

Given:

Initial velocity, u = 33 m/s

Height, h = 5m

Final velocity, v = ?

According to Newton's law:

v² - u² = 2gh

where,

g is the acceleration due to gravity and

g = 9.8 m/s²

On substituting the values we get:

Therefore, the final velocity becomes 31.48 m/s