Answer:
t = 4d + 5
Step-by-step explanation:
Since the slopes in the answer choices are different, we can just find the slope.
Use the formula (y1-y2)/(x1-x2) to find slope. Take points (1,9) and (2,13) and plug them it to get (9-13)/1-2). Simplify to get (-4)/(-1), which simplifies to 4.
The only answer choice with 4 as a slope is D, t = 4d + 5
Answer: the appl;es are diffrent colors
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
We are given that the position of a particle is modeled by the function:
And we want to find the times for which the <em>speed</em> of our particle is <em>increasing. </em>
In other words, we want to find the times for which our <em>acceleration</em> is positive (a(t)>0).
So first, we will find our acceleration function. We can differentiate twice.
By taking the derivative of both sides with respect to <em>t</em>, we acquire:
Differentiate:
This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:
Differentiate:
If our speed is increasing, our acceleration must be positive. So:
By substitution:
Now, we can solve for <em>t:</em>
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Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.
So, our answer is B.