The answers to the questions are
- The mathematical model is given as s = −16t2 + 1054
- The height after 4.5 seconds is 730 feet
- the time it would take to strike the ground is 8.11 seconds.
<h3>How to solve for the position of the object</h3>
The mathematical model of this problem would be written as
s = −16t2 + v0t + s0
s0 = 1054
then we would have
s = −16t2 + 1054
b. after 4.5 seconds the height is going to be
s = −16t2 + 1054
= −16(4.5)² + 1054
= -16 * 20.25 + 1054
= 730
C. the time that it takes to strike the ground
s = −16t² + 1054
= 16t² = 1054
t² = 1054/16
= 65.88
t = √65.88
t = 8.11
Hence the time it would take to strike the ground is 8.11 seconds.
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Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form 
, you need to find the Discriminant with this formula:
For the equation 
you can identify that:
Then, substituting these values into the formula, you get that the Discriminant is:
Since 
, then has two distinct real solutions.
0.5 is less then 6/10 because 6/10 is equal to 0.6
Answer:a=3.6 and b=4.8
Step-by-step explanation:(a^2)+(b^2)=(c^2)
Where c is hypotenuse is equal to 6. A right triangle is also known as a 3,4,5 triangle where the 2 legs are 3 and 4 and hypotenuse is 5. Find the factor in size difference by dividing your hypotenuse of 6 by the hypotenuse of 5 you get 1.2. Now multiply the 3 and 4 by 1 2 to get your answers of 3.6 and 4.8.
To check work simply plug in your legs as a and b
(3.6^2)+(4.8^2)=(6^2)
(12.96)+(23.04)=(36)
