D2x/dt2=-g (which we'll approximate as a constant -32ft/s^2)
d2x/dt2=-32 integrating we get:
dx/dt=-32t+C, where C is the initial velocity which we are told is 128ft/s so
dx/dt=-32t+128, integrating again we get:
h(t)=-16t^2+128t+C, where C is the initial height of the object..which we are told is 136 ft so
h(t)=-16t^2+128t+136 if we factor the first two terms we get:
h=-16(t^2-8t)+136
ANSWER
The is 10 is meters
EXPLANATION
The area of a tra-pezoid can be calculated using the formula;
![Area= \frac{1}{2} \times (sum \: of \: bases) \times height](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%28sum%20%5C%3A%20of%20%5C%3A%20bases%29%20%5Ctimes%20height)
We substitute the values to get,
![95= \frac{1}{2} \times (7 + 12) \times height](https://tex.z-dn.net/?f=95%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%287%20%2B%2012%29%20%5Ctimes%20height)
![2 \times 95= 19 \times height](https://tex.z-dn.net/?f=2%20%5Ctimes%2095%3D%2019%20%5Ctimes%20height)
![\frac{190}{19} = height](https://tex.z-dn.net/?f=%20%5Cfrac%7B190%7D%7B19%7D%20%20%3D%20height)
![height = 10](https://tex.z-dn.net/?f=height%20%3D%2010)
The height is 10 meters.
Answer:
n = 4
Step-by-step explanation:
Tell me if you need a explanation.
Answer: B. 1.33 minutes
Step-by-step explanation:
We have the following equation that models the motion of the pelican:
(1)
Where
is the height of the bird and
is the time in minutes.
Now, if we want to know he time the pelican will land on the ground, we have to solve the equation when
:
(2)
At this point we have a quadratic equation of the form
, and we have to use the quadratic formula if we want to find
:
Where
,
,
Substituting the known values:
Finally:
This is the time when the pelican will land on the ground
There was 2 planes on the surface