10. The time,t,in seconds varies directly with the square root of the distance, d, in feet...
t varies directly as the square root of l. If l=81, then t=10 what is the constant proportion?1. a is directly proportional to b. If a = 15, then b = 92. M varies directly as n. If n = 2/3, then m = 1/43. T varies as the square root of L. If L = 81, then T = 104. Z is proportional to the cube of d. If d = 2 then z = 55. f varies directly...
The length of time (T) in seconds it takes the pendulum of a clock to swing through one complete cycle is givenby the formula T=2pi square root of L divided by 32 where L is the length in feet, of the pendulum, and pi is approximately 22 divided by 7. How long must the pendulum be if one complete cycle takes 2 seconds?
3. A baseball is projected upward form the top of 448 foot tall bulding with an initial velocity of 48 feet per second. The distance s of the baseball from the ground at any time t, in seconds, is glven by the equation s-16r2 +48t+448 How long will it take the ball to hit the ground? a. b. How high will the ball be in 6 seconds? When will the ball be 448 feet in the air? c. d. If...
The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 45 miles per hour? A) 141.75 ft B) 154.05 ft C) 142.09 ft D) 121.5 ft
(1 point) The heights of a ball (in feet) at time t (in seconds) is given by the formula s(t) = 64 - 16(t - 1)2. Consider the following average rate of change expression. AV = $(1) – 8(0.5) 1 -0.5 (a) Compute the value of AV: (b) What are the units on AV? A. feet per second squared B. meters per second C. meters D. feet per second E. seconds F. meters per second squared G. feet (c) What...
TT t :) The function D(t) = 20tan marks the distance (in feet) of the 10 refracted light coming from a spinning disco ball on the walls of the disco hall, for time t in seconds. a. Graph D(t) on the interval [0,5]. b. Find the stretching factor (not amplitude), period, and asymptotes. 5 c. Evaluate D(1) and D PC and interpret those points in context of the 2 scenario.
10. A full cylindrical tank has a depth of 9 feet. After draining for 30 minutes, the tank has a depth of 4 feet. How long does it take to empty if the rate at which the depth of the liquid drops is directly proportional to the square root of the depth of the liquid? Derive any formula you use by solving a differential equation. 10. A full cylindrical tank has a depth of 9 feet. After draining for 30...
The formula S = 1612 is used to approximate the distance S, in feet, that an object falls freely from rest int seconds. The height of a building is 1271 feet. How long would it take for an object to fall from the top? The object would fall for seconds. (Simplify your answer. Type an integer or a decimal rounded to the nearest tenth.) Enter your answer in the answer box Copyright © 2020 Pearson Education Inc. All rights reserved....
+7. 2. The distance an object traveled Din feet, is a function of time t, in seconds, with D() = V5 a. Find D(12) and explain what it tells you about distance traveled, including units. (1 point) b. Find a formula for D'(t). (3 points)
Table t in seconds 0 10 15 25 30 40 45 20 35 v(t) in feet per second 274.27 179.23 141.4 108.83 80.80 56.68 35.91 18.04 2.65 223.19 Table II t in seconds 4. 5 14 15 24 25 34 35 44 45 232.8 v(t) in feet per second 223.19 148.52 39.82 35.91 5.55 141.4 86.08 80.80 2.65 Part ll: Analysis of Data Applying Integrals Calculating total change (distance traveled) of the aircraft. Using the data in Table I, use...