#5. If a ball is thrown upward at 64 feet per second from the top of a building that is 140 feet high, the height of the ball is given by S= 140 + 64t – 162 feet where t is the number of seconds after the ball is thrown. How long after it is thrown is the height 140 feet? |

Q: ball is thrown into the air by baby alien on a planet in the system of venus with a velocity of 31…

A: Put t =1

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: solve when f(t)> g(t)

Q: The population p(t) of a bacteria culture is given by p(t) = -1200tˆ2 + 36000t + 70000, where t is…

A: Given equation of population p(t) of a bacteria culture is

Q: If an arrow is shot straight upward on the moon with a velocity of 57 m/s, its height (in meters)…

A: Given problem:- If an arrow is shot straight upward on the moon with a velocity of 57m / s its…

Q: A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is…

A:

Q: Suppose that the mice population in a certain town follows the formula p(t) = 3000t2 where t > 0 is…

A: We have to tends t to infinity.

Q: At noon, ship A is 150km west of ship B. Ship A is sailing south at 45km/h and ship B is sailing…

A:

Q: The number of bacteria at present time t can be represented by B (t)- Boet. Calculate the initial…

A: *** This is the problem related to DIFFERENTIAL EQUATIONS and we are Advanced math expert and have…

Q: Q.1) a) If the temperature of air is 30 °C & a substance cools from 100 °C to 70 °C in 15 minutes,…

A:

Q: 5. In the vicinity of a bonfire the temperature T (in °C)at a distance of x meters from the center…

A:

Q: Suppose that the distance an aircraft travelsalong a runway before takeo’ is given by D = (10/9)t2,…

A:

Q: If an arrow is shot straight upward on the moon with a velocity of 67 m/s, its height (in meters)…

A: We have -  s(t) = 67t - 0.83t2  Initial velocity = u = 67m/s

Q: If an arrow is shot straight upward on the moon with a velocity of 51 m/s, it's height (in meters)…

A:

Q: If a ball is thrown into the air with a velocity of 58 f/sec , its height (in feet) af ter t seconds…

A:

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D =…

A:

Q: A ball is thrown vertically upward from a height of 8 feet with an initial velocity of 48 feet per…

A: The ball height's thrown upward from a height of 8 feet with an initial velocity is of 48 feet per…

Q: 3. Sid is in a car traveling at speed 60+5t miles per hour away from Las Vegas, where t is in hours.…

A: Solution:

Q: A vehicle purchased for $3250032500 depreciates at a constant rate of 13%13% each year. Its value…

A:

Q: Near the grounds of a building is a windmill h(t)=2cos(30t)+6, where h(t) is the height of the blade…

A: Near the grounds of a building is a windmill h(t)=2cos(30t)+6, where h(t) is the height of the blade…

Q: 17. A firecracker is fired straight up into the air out of a window of a building. Its height in…

A:

Q: Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light.…

A: Given information Velocity v=x't and acceleration a=v't =x''t Given table is

Q: The number of daily sales of a product was found to be given by S = 100xe-x + 100 %3D x days after…

A: (a)   Consider the function S(x) and the formula to calculate the average daily sales. Substitute…

Q: Your are driving away from home. Your distance​ (in miles) away from home x hours after​ 12:00 noon…

A: Proceed as shown below...

Q: A ball is dropped from certain height, its position at time t is s(t)=-4t^2+16 find the time t when…

A: The position of the ball is given by st=-4t2+16. When the ball hits the ground, st=0.

Q: An object is launched on the moon at 32 feet per second (f/s) from a 384-foot tall tower. The…

A:

Q: 10. If a projectile is thrown into the air, its height (in meters) is given by the formula h(t) =…

A: Topic:- Application of Derivative  As per our guidelines, At a time only three sub-parts of a…

Q: An object that is quickly heated and then left to cool in a cold room has a temperature given by T =…

A:

Q: Suppose that the distance an aircraft travels along a runway before takeoff is give by D=(10/3)t^2,…

A:

Q: Suppose an object is dropped from a height ho above the ground. Then its height after t seconds is…

A:

Q: In 1914, a community had a set amount of land that was being converted for agricultural use. The…

A: P = The  fraction of land converted to agriculture land. Pt = 11+6e-0.19t t = time is years since…

Q: 6. The speed of a tidal wave, s, in hundreds of miles per hour, can be modeled by the equation - 4t…

A:

Q: A vehicle purchased for $3250032500 depreciates at a constant rate of 16%16% each year. Its value…

A:

Q: A ball is thrown from a height of 32 meters with an initial downward velocity of 2/ms.  The ball's…

A: Given function

Q: 1) Suppose you are driving on a straight, level highway without any hills, and your distance away t3…

A: Gas pedal is closest to the floor of the car when the rate of change of distance is 0 or velocity is…

Q: Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled…

A: Given:

Q: 1. If a rock is thrown vertically upward from the surface of an unidentified planet. Its height s…

A:

Q: A ball is thrown downward with a speed of 16 ft/s from the top of a 256-foot-tall building. After t…

A: see below the answer and explanation with calculation

Q: The equation for the height of a baseball being thrown directly up in the air at any time x is y =…

A:

Q: If an arrow is shot upward on the moon with a velocity of58 m/s, its height (in meters) after…

A:

Q: In 8 seconds, a bug travels along the line y=2. The position of the bug along y=2 is x(t)=1/3t^3 -…

A: Given data: The position of the bug along y=2 is xt=13t3-72t2+10t-2 Time is 8 seconds. The velocity…

Q: The supply function for a product is given by  p = 20 + 100 radical  2x + 9, where x is the number…

A: Consider the given information,

Q: If an object is dropped from a 151-foot-high building, its position (in feet above the ground) is…

A:

Q: 4) The position of an time in seconds the object has been in motion. How long (to the nearest tenth)…

A: Given s=14 meters , we have to find t=?

Q: A stone is thrown upwards and it's height in meters is at time t seconds is given by…

A:

Q: If an object is dropped from a187-foot-high building, its position​ (in feet above the​ ground) is…

A: a. The velocity of the particle as a function of time is given by, vt=dsdt=ddt-16t2+187=-32t Thus,…

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D =…

A: Given:

Q: Every nine hours, the size of a bacterium culture triples. It will take three hours for the culture…

A: