If a rock is dropped from a height of 235 ft, its poistiont seconds after it is dropped until it hits the ground is given by the function s(t) = – 16t? + 235. Round values below to 3 decimal places. How long does it take the rock to hit the ground? seconds Find the average velocity of the rock from when it is released until when it hits the ground. feet per second What time after the rock is thrown will its instantaneous velocity be equal to its average velcity? (Apply the Mean Value Theorem) seconds after it is thrown

Q: The rate at which an assembly line worker's efficiency E (expressed as a percent) changes with…

A: The rate at which an assembly line worker's efficiency E changes w.r.t. time t is given by…

Q: If a rock is dropped from a height of 33 ft, its poistion t seconds after it is dropped until it…

A: The average value of the function f(x) in the interval [a.b] is given by the equation;…

Q: The value of a computer t years after purchase is v(t) = 4000 e - 0.25t. At what rate is the…

A: To find the rate of the computer's falling after 4 years when value of computer t years after…

Q: The number of bacteria in a culture is given by the function ?(?) = 350?^0.8?, where t is measured…

A:

Q: If a rock is dropped from a height of 294 ft, its poistion t seconds after it is dropped until it…

A:

Q: The instantaneous rate of change of a ball (in ft/s) is given by f'(x) = √x Select one: 1 4 O a. sec…

A:

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: In the question it is asked to calculate instantaneous velocity of the rocket at the instant when…

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) =-9t² + 100.…

A: Given: s(t)=-9t2+100

Q: The size of a certain insect population is given by P(t) = 500e -0zt, where t is measured in days.…

A: Given: Pt=500e.02t

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A: Concept: Trigonometry is used in finding distance and angles, there are six trigonometric ratios and…

Q: 00 If a rock is dropped from a height of 265 ft, its poistion t seconds after it is dropped until it…

A:

Q: If a stone is dropped from 500 feet, its height after t seconds is given by: s(t) = 500 + 25t² Find…

A:

Q: If a rock is dropped from a height of 237 ft, its poistion t seconds after it is dropped until it…

A:

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height…

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

Q: The function f(x) = ᴫx2 describes the area of a circle, f(x), in square inches, whose radius…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: If a rock is dropped from a height of 197 ft, its poistion t seconds after it is dropped until it…

A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

Q: If a rock is dropped from a height of 290 ft, its poistion t seconds after it is dropped until it…

A:

Q: If a rock is dropped from a height of 226 ft, its poistion t seconds after it is dropped until it…

A: Given that a rock is dropped from a height of 226 ft , its position t seconds after it is dropped…

Q: If an arrow is shot straight upward on the moon with a velocity of 69 m/s, its height (in meters)…

A:

Q: A population of bacteria grows according to the function p (t) = po 1.42 , where t is measured in…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = –16t² + 100.…

A:

Q: If a rock is dropped from a height of 249 ft, its poistion t seconds after it is dropped until it…

A:

Q: If a rock is dropped from a height of 240 ft, its poistion t seconds after it is dropped until it…

A: NOTE: Refresh your page if you can't see any equations. . take s=0 ...............answer(a) a…

Q: A person whose height is M feet is walking away from the base of a streetlight along a straight…

A:

Q: If a rock is dropped from a height of 276 ft, its poistion t seconds after it is dropped until it…

A:

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: In the question it is asked to calculate instantaneous acceleration of the rocket at a height of 135…

Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where…

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it…

A:

Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: given: newton's law of heating tells us that the difference between the temperature of the oven and…

Q: If a rock is dropped from a height of 115 ft, its poistion t seconds after it is dropped until it…

A: s(t)=-16t^2+115

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6…

A:

Q: The graph of the acceleration a(t) of a car, measured in ft/s2, is shown below. Use Simpson's rule…

A:

Q: 1. The value of the car, x years after it is purchased, is given by the following equation: 27000…

A:

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A:

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) instantaneous…

A: I am attaching image so that you understand each and every step.

Q: If a rock is dropped from a height of 33 ft, its poistion t seconds after it is dropped until it…

A:

Q: If a rock is dropped from a height of 193 ft, its poistiont seconds after it is dropped until it…

A:

Q: Under certain conditions, tsunami waves encountering land will develop into bores. A bore is a surge…

A:

Q: 8. The height of an object t seconds after it is dropped from a height of 450 meters is s(t) = -…

A: Given s(t)=-4.9t2+450

Q: If a rock is dropped from a height of 185 ft, its poistion t seconds after it is dropped until it…

A: Given function s(t)=-16t2+185. The objective is to find the average velocity and instantaneous…

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

A:

Q: The value of a machine, V, at the end of t years is given by V = C(1 – r)', where Cis the original…

A: The value of the machine is:-

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: Given: h(t)=t310 To find the average velocity of the rocket during the first 45 seconds.

Q: If a rock is dropped from a height of 26 ft, its poistion t seconds after it is dropped until it…

A:

Q: Find the instantaneous rate of change for each function at the given value.: s(t) = -4t2 - 6 at t =…

A: Given function is: s(t) = -4t2 - 6 We have to find the instantaneous rate of change of the given…

Q: If a rock is dropped from a height of 240 ft, its poistion t seconds after it is dropped until it…

A:

Q: If a rock is dropped from a height of 258 ft, its poistion t seconds after it is dropped until it…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = -9t2 + 900.…

A:

Q: If a rock is dropped from a height of 208 ft, its poistion t seconds after it is dropped until it…

A: Given :            The rock is dropped from a height of 208 ft.             s(t) = -16t2 + 208