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Multiple Choice: Please select the best answer and click "submit."
The rule below shows how to find the distance traveled of an object thrown downward with initial velocity of 3 feet per second. Which answer expresses that rule in the form of an equation?
Square the input and then multiply it by 16. Add this product to the initial velocity multiplied by the input.
A.
F(t) = 16t2 + 3t2
B.
F(t) = 16t2 + 3t
C.
F(t) = 16t2 - 3t
D.
F(t) = (16t + 3t)2
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It is B.
The answer is B c:
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To find the distance traveled of an object thrown downward with an initial velocity of 3 feet per second, we can use the given rule expressed as an equation.
The equation given is: F(t) = 16t^2 + 3t
To break it down:
- The term "16t^2" represents the distance traveled while the object falls due to gravity. This is because the distance fallen depends on the time squared (t^2) and is multiplied by 16, which is the acceleration due to gravity (32 ft/s^2 for an object thrown downward).
- The term "3t" represents the distance traveled due to the initial velocity of 3 feet per second. As time passes (t), the object continues to move forward at a constant rate of 3 feet per second, adding to the total distance.
So, the correct answer is B) F(t) = 16t^2 + 3t.