Using derivatives, it is found that the correct option is:
A. Object C has an acceleration that is greater than the acceleration for D.
The acceleration is the <u>derivative of the velocity</u>, given by change in velocity divided by change in time, that is:

In this problem:
- The change in time for objects C and T is the same.
- The <u>change in velocity for object C is greater</u>, thus, it has a greater acceleration, and the correct option is:
A. Object C has an acceleration that is greater than the acceleration for D.
A similar problem is given at brainly.com/question/14516604
The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.
Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.
After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.
Do you remember this for a right triangle ? ==> A² + B² = C²
(500H)² + (1200H)² = (650)²
250,000H² + 1,440,000H² = 422,500
1,690,000 H² = 422,500
H² = (422,500) / (1,690,000) = 0.25
H = √0.25 = 1/2 hour = 30 minutes
9/16.
There is no common factor to 9 and 16.
No number can go into 9 and at the same time go into 16.
So in simplest form it is still = 9/16
Answer: 3, -3, 3i, -3i
<u>Step-by-step explanation:</u>
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