Answer:
t = 5.25 seconds
Step-by-step explanation:
Given that,
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation:
It is assumed to find the time when the projectile will hit the ground. When the projectile hit the ground, its height is equal to 0 such that,
It forms a quadratic equation such that,
So, the projectile will hit the ground at t = 5.25 seconds.
Answer:
Option D [] in the list of possible answers
Step-by-step explanation:
For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.
I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.
Notice that the exponential of best fit with my calculator comes in the form:
with optimized parameters:
Notice as well that since:
the exponential best fit can also be written:
and this expression is very close to the last option shown in your list of possible answers
