Your favorite professor decided to throw in the air a marker above his head (vertically). if the marker leaves his hand at a height of 1.2 m from the ground with an initial velocity of 20 m/s, when would the marker reach the highest point in the air (1.6 m from the ground)?

Explanation:

From the exercise we know

To find how long does it takes the marker to reach the highest point we need to use the equation of position:

Now, we need to use the quadratic formula:

Solving for t

or

So, the answer is t=4.06s because the other option is almost 0 and doesn't make any sense for the motion of the marker

the ima (higher than 1m) will be greater than the ima with the height of 1m.