Big guns on naval ships must fire projectiles many kilometers. To do this, the projectile must also go high into the air. Suppose that the initial upward velocity
of a projectile is 300 m/sec.
a. How high will the projectile be 20 seconds after it is fired?
b. When will it reach two kilometers above where it was fired?
c. Will it ever be 5000 meters above where it was fired? Explain.
d. How long does it take to reach the target, which is at the same level as the
projectile when it was fired?

Option (a) is correct.

fully factored form of given expression is

Step-by-step explanation:

Given expression :

We have to write the given expression in factored form and choose a correct option out of given options.

Factorization is the process of writing the an expression in form of factors such that when we multiply we get the same expression.

Consider the given expression

consider first term can be written as  

Similarly ,   can be written as  

Now, consider the given expression  

taking common terms out of the both factors, we have

Thus, option (a) is correct.