A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the height h (in feet) of the football at time t (in seconds). Which statement about the height of the football is true?A. The football does not reach a height of 15 feet.
B.The football reaches a height of exactly 15 feet.
C. The football reaches a height that is greater than 15 feet.

Answer:

Where is the a. b. c. or d?

Your friend is not correct.

It takes the cheetah Approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

Given that, a cheetah can run at top speed for only about 20 seconds and the top speed of a cheetah is 90 feet per second.

What is the formula to find the speed of an object?

The formula to find the speed of an object is Speed = Distance / Time.

From the given question in 20 seconds cheetah will cover a distance of:

20 × 90 = 1800 feet

In 20 seconds cheetah will cover a distance of 1800 feet.

It is given that the antelope runs 60 feet per sec

That means in 20 seconds antelope will cover a distance of:

20 × 60 = 1200 feet

In 20 seconds antelope will cover a distance of 1200 feet.

Now add the distance ran initially, because the antelope was ahead of the cheetah from 650 feet.

1200 feet + 650 feet = 1850 feet

But the maximum distance cheetah can cover is 1850 feet. Thus the antelope is still 50 ft ahead of the cheetah.

Therefore, the antelope is probably safe.

Hence, your friend is not correct.

The speed of a cheetah is 30 feet per second more than antelope.

Cheetahs need to cover 50 feet to catch antelope.

So, 50/30 =1.67 seconds

20 seconds + 1.67 second = 21.67 seconds

Therefore, it takes the cheetah approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

To learn more about the speed visit:

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Final answer:

The sum of the first 39 positive odd numbers is 1521.

Explanation:

To find the sum of the first 39 positive odd numbers, we can use the formula for the sum of an arithmetic series. The formula is: S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, n = 39, a = 1, and l = 77. Plugging these values into the formula, we get:

1. S = (39/2)(1 + 77)
2. S = (39/2)(78)
3. S = 39 * 39
4. S = 1521

Therefore, the sum of the first 39 positive odd numbers is 1521.

Learn more about Sum of odd numbers here:

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