The mathematical model for the height of the coin is s = −16t^2 + 962, the height of the coin after 5.5 seconds is 478 feet and it will take the coin 7.75 seconds to strike the ground
<h3>(a) Use the position equation to write a mathematical model for the height of the coin.</h3>
The position equation is given as:
s = −16t^2 + v0t + s0
The height of the building is 962 feet.
This means that:
s0 = 962
Also, the object is a free-falling object.
This means that
v0 = 0
Substitute these values in the position equation.
So, we have:
s = −16t^2 + 962
Hence, the mathematical model for the height of the coin is s = −16t^2 + 962
<h3>(b) Find the height of the coin after 5.5 seconds.</h3>
This means that
t = 5.5
So, we have:
s = −16 * 5.5^2 + 962
Evaluate
s = 478
Hence, the height of the coin after 5.5 seconds is 478 feet
<h3>(c) How long does it take the coin to strike the ground?</h3>
This means that
s = 0
So, we have:
0 = −16t^2 + 962
Add 16t^2 to both sides
16t^2 = 962
Divide by 16
t^2 = 60.125
Take the square roots of both sides
t = 7.75
Hence, it will take the coin 7.75 seconds to strike the ground
Read more about height functions at:
brainly.com/question/12446886
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