A projectile is shot upward from the surface of Earth with an initial velocity of 108 meters per second. Use the position function below for free-falling objects. What is its velocity after 2 seconds? After 12 seconds? (Round your answers to one decimal place.) s(t) = −4.9t2 + v0t + s0   2s=   12s=

Q: A car is traveling at a rate of 42 feet per second when the brakes are applied. The position…

A: To complete the table

Q: S(t) = 2t³ – 12t2 – 126t + 6 meters. - Find velocity and acceleration functions of the body and then…

A: Given, position of a body along the straight line t is, S(t)=2t3-12t2-126t+6 To find the velocity…

Q: A car rolls down a hill.Its distance (in feet) from its starting point is given by S(t)=1.5t2+4t ,…

A: The distance function is: S(t) = 1.5 t^2 + 4t (a) In 10 seconds the car will move: S(10) = 1.5(10)^2…

Q: f(t : = 500e0.05t Consider a bacterial population that grows according to the function measured in…

A:

Q: Suppose an object is moving along a path described by f(t) = 2t³ + 3t² – 6t, where f (t) is measured…

A: Answer and explanation is given below..

Q: The height in feet of an object thrown vertically upward after t seconds is given by s(t) =…

A:

Q: A climatologist is measuring glacial run-off during the weeks before winter sets in again and the…

A: Given, rt = 60t2+3-20e1-2t  Where t is the number of weeks since measurements began and rt is the…

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

A: Given information: The height function is ht=-4.9t2+355t+304. Calculation: The rocket will splash…

Q: If a stone is thrown up at 16 meters per second from a height of 180 meters above the surface of the…

A: Concept:rate of change of velocity is called acceleration

Q: Suppose an object is moving along a path described by f(t) = 2t³ + 3t? – 6t, where f (t) is measured…

A: Here we have to find instantaneous rate of change .the solution is following.

Q: Consider the position function for free-falling objects. s(t) = −16t2 + v0t + s0. A ball is thrown…

A:

Q: The petrol mileage of a car is affected by many factors like road surface, tire type, velocity, fuel…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: A projectile is shot upward from the surface of Earth with an initial velocity of 132 meters per…

A: Given,             S(t) = -4.9t2 + V∘ (t) + S∘velocity, V(t) = dsdt                        =…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A: Given: N'(t)=0.049 N(t)Therefore:dNdt=0.049 N

Q: 4. When Greg dives from a platform with an initial upward velocity of 12 ft/s, his height h (in…

A:

Q: A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be…

A: A rock is thrown vertically upward with a velocity of 256 ft/s, Its position function can be modeled…

Q: Given the function g(x) = -a² +5x +14, determine the average rate of change of the function over the…

A:

Q: projectile is shot upward from the surface of Earth with an initial velocity of 87 meters per…

A:

Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

A:

Q: - NASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, as a function of…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Q1/ If the position of the particle which moving as function to the time can be expressed by the…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The position of a particle at any timet is given by S =-15t2+ 48t-10. What is the velocity after 10…

A: The given question is taken from the physics  in which we have to find the velocity of the particle…

Q: Let  s(t) = -16t2 + 128t + 5. (a) What is the velocity after 2 seconds? (b) What is the acceleration…

A: given,      st=-16t2+128t+5

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A:

Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: 11. AN OBJECT IS TOSSED VERTICALLY UPWARD WITH A VELOCITY OF 128 ft/sec AND REACHES A НEIGHT OF s(t)…

A: s(t) = -16t2+128tv(t) = ddts(t)v(t) = -16×2×t+128v(t) = -32t +128

Q: Home price y is estimated as a function of the square footage of a house x and a dummy variable d…

A:

Q: 5. Consider the population of bacteria grows according to the function f(t) 200e0.02t, where t is…

A: The solution of the problem is given in the next steps.

Q: If a rock is thrown upward on the moon with a velocity of 15 m/s, its height (in meters) after t…

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

A:

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea level, as a function of…

A:

Q: What is its velocity after 3 seconds? After 14 seconds?

A:

Q: Q2. A particle moves along a straight line so that aftert (seconds), its distance from O a fixed…

A: As per our guidelines, we can only solve first three sub-parts  of a question. Please repost other…

Q: NASA launches a rocker at t=0 seconds. its height, in meters above sea level, as a function of times…

A: Given:  h(t)=-4.9t2+349t+190 Since Rocket will splash down  ⇒h=0 ⇒-4.9t2+349t+190=0…

Q: If a bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

A: the bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

Q: Use the position function s(t) = −4.9t2 + v0t + s0 for free-falling objects. A projectile is shot…

A: Given: s(t) = −4.9t2 + v0t + s0  A projectile is shot upward from the surface of Earth with an…

Q: This happens on a nearly Earth-size planet:   A skull is tossed up into the air with an upward…

A:

Q: A ball is thrown straight down from the top of a 220-ft building with an initial velocity of -16 ft…

A:

Q: The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the…

A:

Q: B. The position of a particle moving along a horizontal line is given by r(t) = t-6t²+9t, where t20…

A: given x(t)=t^3-6t^2+9t

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A:

Q: A projectile is shot upward from the surface of Earth with an initial velocity of 90 meters per…

A:

Q: A projectile is shot upward from the surface of Earth with an initial velocity of 104 meters per…

A: Differentiate the function s(t) to find the function v (t).

Q: A projectile is shot upward from the surface of Earth with an initial velocity of 104 meters per…

A: In this question we have to find the velocity after 2 seconds and after 10 seconds.

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: We have to find the time at which h(t) is 0.

Q: The median home price in a country over the period January 2010–January 2015 can be approximated by…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: The given function is ft=120e0.07t. The total income from machines over first 3 years is obtained by…