The function s(t) = 16t models the distance, s(t), in feet, that an object falls in t seconds. Use this function and the square root property to solve the given problem. Express answers in simplified radical form. Then use a calculator to find a decimal approximation. A sky diver jumps from an airplane and falls 3200 feet before opening a parachute. For how many seconds was the diver in a free fall? The sky diver was in a free fall for seconds. (Simplify your answer. Type an exact answer, using radicals as needed.)

The function s(t) = 16t models the distance, s(t), in feet, that an object falls in t seconds. Use this function and the square root property to solve the given problem. Express answers in simplified radical form. Then use a calculator to find a decimal approximation. A sky diver jumps from an airplane and falls 3200 feet before opening a parachute. For how many seconds was the diver in a free fall? The sky diver was in a free fall for seconds. (Simplify your answer. Type an exact answer, using radicals as needed.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 51P: A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four...

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A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51
Paleontologists use the function W(x) = 4√/2x to estimate the walking speed of a dinosaur, W(x), in feet per second, where x is the length, in feet, of the dinosaur's leg. What is the walking speed of a dinosaur whose leg length is 6 feet? Express the answer in simplified radical form. Then use the function's graph to estimate the answer to the nearest foot per second. Walking speed (feet per second) feet per second. (Round to the nearest whole number as needed.) Dinosaur Walking Speeds W(x) = 4√2x Write the walking speed of a dinosaur whose leg length is 6 feet as a simplified radical. feet per second. (Simplify your answer. Type an exact answer, using radicals as needed.) Use the graph to estimate the walking speed of a dinosaur whose leg length is 6 feet. Leg length (feet) [0.25,1] by [0,30,2] Q Q
Using Excel to make a plot of the Position vs Time given in the following table. The dependent variable is the position (y-axis) and the independent variable is the time (x-axis). This is the measured position of a rock as it falls from the top of a very high cliff and obeys the equations y = 1/2gt2. Make sure you label the plot properly. Label the plot and the plot axes with the appropriate labels. Measurement Time (s) Position (m) 1 0 0 2 1 5 3 2 21 4 3 46 5 4 82 6 5 129 7 6 185 8 7 252 9 8 330 10 9 417 Calculate "g" using your equation
Using Excel to make a plot of the Position vs Time given in the following table. The dependent variable is the position (y-axis) and the independent variable is the time (x-axis). This is the measured position of a rock as it falls from the top of a very high cliff and obeys the equations y = 1/2gt2. Make sure you label the plot properly. Label the plot and the plot axes with the appropriate labels. Measurement Time (s) Position (m) 1 0 0 2 1 5 3 2 21 4 3 46 5 4 82 6 5 129 7 6 185 8 7 252 9 8 330 10 9 417 Right click on a data point in the graph and add a “Trend line.” Select a polynomial of order 2. This is a parabolic equation and describes an object falling under constant acceleration. Also check the box that says ‘Display equation on the graph.” Since the acceleration of gravity is 2 times the coefficient of the x2 term, what do you find for the acceleration of gravity. Copy and…
The bus drops you off at the corner of H Street and 1st Street, approximately 300 ft. from school. You plan to walk to your friend Janneth's house school to work on a project. Approximately how many feet will you have to walk from school to Janneth's house?
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The heights of the ball in feet is given by the equation s= -2.71² +50t+6.5, where t is the number of seconds after the ball was thrown. Complete parts a and b. a. After how many seconds is the ball 18 ft above the moon's surface? After seconds the ball will be 18 ft above the moon's surface. (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) ents Librar ccess 4 Help me solve this View an example Get more help. Check answer ▬ J 38 insert FG Q A Z → 2 W S alt x # 3 E D DII C $ 4 R 2 F FS V %6 5 T G ^ 6 B F7 Y H & 7 8 N (DELL FR J 8 F9 M 00 к prt sc F10 10 9 Clear all O " alt home ) O L F11 P end ctrl : F12 1 [ 0 + ? / = 66 delete } 1
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Suppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).
set up an equation, and solve the problem. Working together, Dan and Julio can mow a lawn in 12 minutes. Julio can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each of them to mow the lawn alone?
A car moves along a circular track of radius 250 ft, and its speed for a short period of time 0 < t <2 seconds is v = 3(t + t2) ft/s, where t is in seconds. Determine the magnitude of the car’s acceleration (ft/s2) when t = 2 seconds. How far (ft) has it traveled in t = 2 seconds? Show all necessary math and include all units.
You get lost and stop at a gas station to ask for directions. The attendant tells you that your destination is "about 1 mile down the road". You drive to your destination, but you notice that, according to your trip odometer, you have driven 1.9 miles. What was the % error in the attendant's distance estimate? ( Note: We will temporarily ignore the sign for error calculations. The correct answer for each calculation is an integerbetween 0 and 100, inclusive. Do NOT enter the percent sign (%) or a minus sign (-). )
6.8 The distance a freely falling object travels is where g = acceleration due to gravity, 9.8 m/s? t = time in seconds x = distance traveled in meters. If you have taken calculus, you know that we can find the velocity of the object by taking the derivative of the preceding equation. That is, dx = v = dt = gt We can find the acceleration by taking the derivative again: dv = a = g dt (a) Create a function called free_fall with a single input vector t that returns values for distance x, velocity v, and acceleration g. (b) Test your function with a time vector that ranges from 0 to 20 seconds, 6.9 Create a function