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Y_Kistochka [10]
4 years ago
13

A rock is dropped from a height of 64 ft. It is determined that its height (in feet) above ground t seconds later (for 0 ≤ t ≤ 2

) is given by s(t) = -16t²+64. Find the average velocity of the rock over each of the given time intervals. Use this information to guess the instantaneous velocity of the rock at time.
Mathematics
1 answer:
ser-zykov [4K]4 years ago
8 0

Answer:

The average velocity of the rock would be 32 ft per second.

Step-by-step explanation:

A rock has been dropped from a height of 64 ft.

Height of the rock is determined after time 't' by the expression.

S(t) = -16t² + 64

Where 0 ≤ + ≤ 2

Total distance traveled by the rock in

2 seconds = 64 feet

Therefore average velocity = \frac{64}{2} = 32 ft per second

The average velocity of the rock would be 32 ft per second.

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An Ontario lottery has the following structure, the first person drawn from the names wins $15 000. Each subsequent person drawn
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  • The first four terms are : 15000, 14850, 14700, 14550
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The first term of the sequence, a = 15,000

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Hence, the common difference, d = - $150

The first four terms :

First term, a1 = $15000

Second term, a2 = a - d = $15000 - $150 = $14850

Third term, a3 = a2 - d = $14850 - $150 = $14700

Fourth term, a4 = a3 - d = $14700 - $150 = $14550

a, for the sequence is the first term = $15000

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Explicit formula for the general term :

a_{n} \:  = nd \: + c

For n = 1

15000 = 1( - 150)  + c

15000 =  - 150 + c

c = 15150

Hence, the explicit formula for the nth term is :

a_{n} \:  =  - 150n \:  + 15150

Learn more : brainly.com/question/12006170

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