Question

Cristiano Ronaldo kicks a football directly up into the air with an initial velocity of 23.5 m/s. The acceleration due to gravity is 9.8m/s/s downward. How long will the ball be in the air for?

Answer to two decimal places and do not include units. THANK YOU

Answer 1

The amount of time that the ball will be in the air for is 2.40 seconds.

Given the following data:

• Initial velocity = 23.5 m/s.

• Acceleration due to gravity = 9.8 $m/s^2$

To find how long (time) the ball will be in the air for, we would use the first equation of motion:

Mathematically, the first equation of motion is given by the formula;

$V = U + at$

Where:

• V is the final velocity.

• U is the initial velocity.

• a is the acceleration.

• t is the time measured in seconds.

Note: When the ball reaches its maximum height, its final velocity is equal to zero (0) m/s because it would come to a stop before descending.

Substituting the given parameters into the formula, we have;

$0 = 23.5 + (-9.8)t\\\\23.5 = 9.8t\\\\t = \frac{23.5}{9.8}$

Time, t = 2.40 seconds.

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