Question

Precalc question: a warhead fired from an enemy ship in the persian gulf is a dud and only travels 100 meters before it hits the water. If it had an initial velocity of 489 meters per second, find the time from the initial launch of the warhead to impact

a)0.2 s

b)30.8 s

c)100 s

d) 0.31 s

Answer 1

0.2s is the time from the initial launch of the warhead to impact.

Explanation:

This is a rule of three problem

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, our measures have a direct relationship.

The problem states that in a second, the warhead travels 489 meters. How long it takes to travel 100 meters? So

1s - 489m

xs - 100m

489x = 100

`x = (100)/(489)`

x = 0.2s.

0.2s is the time from the initial launch of the warhead to impact.