Question

Asked Dec 21, 2019

7 views

An object in free fall is dropped from a tall cliff. It falls 16 ft in the first second, 48 ft in the second second, 80 ft in the third second, and so on.

a. Write a formula for the nth term of an arithmetic sequence that represents the distance dn (in ft) that the object will fall in the nth second.

b. How far will the object fall in the 8th second?

c.What is the total distance that the object will fall in 8 sec?

Step 1

Step 1:

The object fall in the first second = 16ft

The object fall in the second second = 48ft

The object fall in the third second = 80ft

So, it become a arithmetic sequence with common difference 32.

The formula for the nth term of an arithmetic sequence is:

Step 2

- b) the above formula represent the distance that falls on every second after n seconds:

Step 3

The total distance that the obje...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: solve the equation or inequality. Write the solutions to the inequalities in interval notation. 3 ≤ ...

A: Given inequality isSimplifying the inequality by isolating x:When an inequality is multiplied or div...

Q: For Exercise, solve the system of equations. 4x -2z=-4 6y+5z=8 7x-3y =13

A: Given the system of equations

Q: The population of Germany in 2011 was approximately 85.5 million. The model P = 85.5e^(−0.00208)t re...

A: Click to see the answer

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A={x|4>x}, B...

A: Given:

Q: Given a polygon of n≥ 3 sides, the sum of the interior angles within the polygon is given by s n = 1...

A: Click to see the answer

Q: Perform the row operation(s) on the given augmented matrix. R2 = - 2r2 +r1 - 8 2 4 6 1 2 3 4 6 7 1 B...

A: Given,

Q: question 32

A: Given,

Q: For Exercise, a. Write the domain and range of f in interval notation. b. Write an equation of the i...

A: a.

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,...

A: X intercept of the point on the graph where y = 0. So,