An object with an initial velocity of – 85 m/s undergoes an acceleration of a(t) = 6t + 18 m/s“, t seconds after an experiment begins. The velocity of the object after t seconds is v(t) m/s Ouestian lsl.

Q: A 13ft ladder rests against a vertical wall. If the bottom of the ladder is sliding away from the…

A:

Q: f. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kph are…

A:

Q: A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96…

A:

Q: consider a tree with a tr

A:

Q: 2. A 13-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the…

A:

Q: A particle moves along a straight line with a velocity v(t) =t*e meters per second after t seconds.…

A:

Q: 4. Saturn has mass 95 times that of the Earth and 9.5 times of its radius. From this data, (a)…

A:

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a…

A: Given , S= 150-3            S= 147 m            a = -9.8 m/s2

Q: A cube is heated in such a way that the volume increases at a rate of 1 mm/s. The rate of change of…

A: A cube is heated in way that volume increases at the rate of 1mm/s. the side of the cube is 7mm…

Q: 25. A 10-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides…

A: Given :-  dx/dt= 3feet/sec  Ladder height= 10feet  Find rate at which ladder is sliding down from…

Q: A bacteria population starts with 400 bacteria and grows ata rate of  r(t) = (450.268)…

A:

Q: A rectangular box has its height increasing at a rate of 1m/s while its volume is decreasing at a…

A: We have to find the  rate of change of length.

Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: A 6.3-kg box is being lifted by means of a light rope that is threaded through a single, light,…

A: h = 1.5 mt = .42 sh = 1/2 * a * t^2====> a = 2h / t^2 = 3 / .1764 = 17.00 m/s^2final velocity, v…

Q: m Oil is running into an inverted conical tank at the rate of 37 -. If the min tank has a radius 2.5…

A:

Q: Car B starts 30 miles directly east of car A and begins moving west at 90 mph. At the same moment…

A:

Q: A man of height  1.9  meters walks away from a 5-meter lamppost at a speed of  2.1  m/s. Find the…

A: Let distance of the man from the pole=x   Let the length of the shadow =y…

Q: A 13​-foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A: Given that A 13​-foot ladder is leaning against a vertical wall​ after pulling the foot of the…

Q: 6) A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate…

A:

Q: A 200-liter tank initially full of water develops a leak at the bottom. Given that 10% of the water…

A:

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A: Given that,  At time, t=0, the amount of cane sugar in water =75kg At time, t=30minutes, the amount…

Q: 1. A car is travelling at 50 mi/hr when the breaks are fully applied, producing a constant…

A:

Q: Use differentials to approximate v410, and then compare your approximation with the actual answer…

A:

Q: A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1lb of…

A: Given that a 50 gal tank initially contains 10 gals of fresh water.

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: A car travels in a straight line.  It increases its speed from 22 m/s to 28 m/s with a constant…

A: Since distance formula for constant acceleration is  v2=u2+2ax where v is final velocity, u is…

Q: A particle is moving along the curve y = x². As the particle passes through the point (1,e), its…

A: Given: A particle is moving along the curve y=x2. As the particle passes through the point (1, e),…

Q: A race car starts from rest and speeds uniformly to the right until it reaches a maximum velocity of…

A:

Q: A flag is raised vertically from a pole at a constant rate of 1m/s. A point B on the ground level…

A: Given: Vertically raising speed of flag at constant rate=1 m/s……1Horizontal distance from flagpole…

Q: A mothball loses volume by evaporation at a rate proportional to its instantaneous area. If the…

A:

Q: pushed

A: Given: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being…

Q: 10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm…

A:

Q: At noon a car starts from rest at point A and proceeds with constant acceleration along a straight…

A:

Q: 20. A 13 foot ladder leans against a vertical wall. When the ladder is pulled away from the wall at…

A:

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: Given Data: The height of the man is: h=1.9 m The height of the lamppost is: H=5 m The increasing…

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A:

Q: Consider a rectangular metal box without a top lid which, because of being heated, is increasing in…

A:

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

A:

Q: Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a…

A: Given Constant Velocity u=19.5 m/sInitial mass mo=0.7kgGravity g=9.81 ms-2Time t=0.3 second,…

Q: B. A ladder 13 feet long rests against a vertical wall. If the top of the ladder slides down at a…

A:

Q: A 30 foot ladder is resting against a vertical wall, with its other end on horizontal ground, with…

A:

Q: A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1…

A: It is given that a 50 gallon tank initially contains 10 gallon fresh water. A brine solution with 1…

Q: A weather balloon is rising vertically at the rate of 10ft/s. An observer is standing on the ground…

A: Given: -

Q: 4. A lizard accelerates from 2 m/s to 10 m/s in 4 seconds. What is the lizard's average…

A: Given: a) A lizard accelerates from 2 m/s to 10m/s in 4 seconds. What is lizards average…

Q: A train moves at a velocity of v(t) 3t 32007 km/sec where tin seconds is the time passed since the…

A: We have a given velocity in term of time . We know , acceleration=dv/dt.

Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

A:

Q: A baseball thrown directly upward at 160 ft/sec has velocity v(t) = 160- 32t ft/sec at time t…

A:

Q: A flag is raised vertically from a pole at a constant rate of 1 m/s. A point B on the ground is…

A: solution:- draw a right angle triangle:-

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.