A rock is dropped from a height of 88 ft. The height of the rock (in...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A rock is dropped from a height of 88 ft. The height of the rock (in feet) above the ground t seconds later (for 0 ≤ t ≤ 2) is given by s(t) = -16t² + 64. a. Find the average velocity of the rock over the interval [0.49,0.5] b. Find the average velocity of the rock over the interval [0.5,0.51] c. Use the information from part a and b to guess the instantaneous velocity of the rock at time t = 0.5. A rock is dropped from a height of 88 ft. The height of the rock (in feet) above the ground t seconds later (for 0 ≤ t ≤ 2) is given by s(t) = -16t² + 64. a. Find the average velocity of the rock over the interval [0.49,0.5] b. Find the average velocity of the rock over the interval [0.5,0.51] c. Use the information from part a and b to guess the instantaneous velocity of the rock at time t = 0.5.
Expert Answer:
Answer rating: 100% (QA)
a Find the average velocity of the rock over the interval 049 05 To find the change in position we n... View the full answer
Related Book For
Posted Date:
Students also viewed these physics questions
-
If a baseball is dropped from a helicopter 625 ft above the ground, then its distance in feet from the ground t seconds later is modeled by the function How long after it is dropped will it hit the...
-
A rock is dropped from rest into a well. The well is not really 16 seconds deep, as in Figure P2.70. (a) The sound of the splash is actually heard 2.40 s after the rock is released from rest. How far...
-
Use the position function s(t) = 4.9t 2 + v 0 t + s 0 for free-falling objects. A rock is dropped from the edge of a cliff that is 214 meters above water. (a) Determine the position and velocity...
-
If the demand during review cycle is equal to 12, the demand during lead time is 11, and the safety stock is equal to 8, what is the order point? What is the EOQ of an item with a project annual...
-
Consider five depreciation schedules: They are based on the same initial cost, useful life, and salvage value . Identify each schedule as one of the following Straight-line depreciation ....
-
The following is a summary of all relevant transactions of Vicario Corporation since it was organized in 2012. In 2012, 15,000 shares were authorized and 7,000 shares of common stock ($50 par value)...
-
Which of the following events would be an extraordinary loss? a. Loss due to an earthquake b. Loss on the sale of equipment c. Loss on discontinued operations d. All of the above are extraordinary...
-
The following items were selected from among the transactions completed by Sherwood Co. during the current year: Mar. 1. Purchased merchandise on account from Kirkwood Co., $225,000, terms n/30. 31....
-
Investigate and present the strategies organizations can adapt to manage diversity effectively in this contemporary work environment.
-
When one hears the word entrepreneur, many faces come to mind. Elon Musk, Sara Blakely, Warren Buffet, Martha Stewart, Bill Gates, and Daymond John are just a few that might spring to mind. There are...
-
The topics I decided to pull from the article "Leveraging Diversity Through Psychological Safety" on how Separation Diversity can affect the working environment in both a positive and negative way,...
-
Refer to the company you selected in C1.1. Based on your knowledge of this company, answer the following questions. A. Describe its customers, competitors, and legal/social environment. B. Do you...
-
Solve the homogeneous linear system \(\mathbf{A x}=\mathbf{0}\), where the components of \(\mathbf{x}\) are \(x_{1}, x_{2}, \ldots, x_{n}\). \(\mathbf{A}=\left[\begin{array}{ccc}2 & 0 & 1 \\ -1 & 1 &...
-
One kg of gas is compressed polytropically from \(160 \mathrm{kPa}\) pressure and \(280 \mathrm{~K}\) temperature to 760 \(\mathrm{kPa}\). The compression is according to law \(\mathrm{PV}^{1.3}\)...
-
Use the data provided in Problem 14.1. Determine the critical cost of fuel, diesel, and natural gas (assuming the cost of electricity remains constant); when using the heat wheel is not economical if...
-
Solve the homogeneous linear system \(\mathbf{A x}=\mathbf{0}\), where the components of \(\mathbf{x}\) are \(x_{1}, x_{2}, \ldots, x_{n}\). \(\mathbf{A}=\left[\begin{array}{ccc}-1 & 3 & 4 \\ 2 & -2...
-
You have acquired 40 million dollar by issuing bond. The Yield of Maturity of the bond is 8%: You have also acquired 40 million dollar by issuing preferred stocks. The net price is 98% of par and the...
-
Explain the buyers position in a typical negotiation for a business. Explain the sellers position. What tips would you offer a buyer about to begin negotiating the purchase of a business?
-
In Exercises verify that the two planes are parallel, and find the distance between the planes. 4x - 4y + 9z = 7 4x4y + 9z = 18
-
In Exercises find dy/dx by implicit differentiation. xy + yx = -2
-
In Exercises find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. y=9x, y = 0, x = 2, x = 3
-
The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. If the shaft is made from steel having an allowable normal stress of \(\sigma_{\text {allow }}=150...
-
Draw the shear and moment diagrams for the shaft, and determine its required diameter to the nearest \(\frac{1}{8}\) in. if \(\sigma_{\text {allow }}=30 \mathrm{ksi}\) and \(\tau_{\text {allow }}=15...
-
Determine the minimum depth \(h\) of the beam to the nearest \(\frac{1}{8}\) in. that will safely support the loading shown. The allowable bending stress is \(\sigma_{\text {allow }}=2.1...
Study smarter with the SolutionInn App