A stone is dropped from the upper observation deck of a tower, 850 m above the ground. (Assume g 9.8 m/s2.) (a) Find the distance (in meters) of the stone above ground level at time t h(t) (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) S (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.) S

Q: Evaporation As a spherical raindrop falls, it reaches a layer of dry air and begins to evaporate at…

A: Given:- That Evaporation rate is proportional to surface area of the spherical rain drop since,…

Q: 2. A stone is dropped from the upper observation deck of the CN Tower, 450 meters above the ground.…

A: As you asked too many question , I only answered first three

Q: 4. A rock thrown vertically upward from the surface of the moon reaches a height of h = 8t – 0.8t2…

A:

Q: An object is initially moving in the x-direction at 4.4 m/s when it undergoes an acceleration in the…

A:

Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

Q: An object experiencing free fnll motion is released at e- 0. It hits the ground after 4 seconds as…

A: We have to find functions using equations of motion.

Q: A rock thrown vertically upward fromthe surface of the moon at a velocity of 24 m/sec (about 86…

A:

Q: 1. of the balloon is increasing when the diameter of the balloon is 20 cm. Air is being pumped into…

A:

Q: A body has initial velocity 20 m/s as it moves in a straight line with acceleration func- - m/s?.…

A: By using integration formula, we calculate the required values.

Q: Need help with the entirety of the problem

A: Given:

Q: 6. The radius of a conical tank is 8 meters and the height of the tank is 13 meters. Water is…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

A:

Q: 8. The spherical balloon is inflating at the rate of 12,000 cm³/min. How fast is its radius changing…

A: Let  V be the volume of a spherical balloon with radius r at any time tGiven: dVdt=12,000 cm3/min…

Q: QuestiuI 3. A lighthouse is on a small island 3 km away from the nearest point P on a straight…

A: Let y be the distance of lighthouse from nearest point P on the shoreline. Let at time t the beam…

Q: 3. A water tank is shaped like a cone with the point downward with height 4m and a base radius 2 m.…

A: NOTE: Refresh your page if you can't see any equations. . use the similar triangle property

Q: 17) A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: The volume of the pyramid is                        V=13Bh Where B is the area of the base…

Q: 4. A ladder 25 feet long is leaning against a vertical wall. The base of the ladder slides away from…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A:

Q: 5. A trough is 6m long and its ends have the shape of isosceles triangles that are 1m across at the…

A: The solution is given below in the next step:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A:

Q: 1. Sand being dumped from a funnel forms a conical pile whose height is always one￾third the…

A:

Q: 1. A spotlight at a building corridor is fastened to a wall 8 m above the floor. A lady 1.75 m tall…

A: Please have a look at the picture below to understand what's going on: For the sake of clarity, s =…

Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min.…

A:

Q: 5. A man 1.9 meters tall is walking away from 6,7-meter-tall lamp post at the rate of 170 cm/s. a.…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

A: Finding the rate at which water level rises in a pyramid at a particular height

Q: 33. The base x of the right triangle in Figure 14 increases at a rate of 5 cm/s, while the height…

A:

Q: A child flies a kite at 90ft. The wind is carrying the kite horizontally away from the child at a…

A:

Q: A 16 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t=0 and…

A: Given: Length of the ladder against the wall is l is16 ft The distance between wall and the bottom…

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

A:

Q: A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40…

A: Consider the given information about water trough:

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How…

A: Given; A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec.

Q: 23. An airplane is flying at a constant altitude of 4,000 ft. and passes through a point directly…

A: Here the altitude is given as 4000 ft. we need to calculate the speed of airplane at the instant…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: Given inverted square pyramid has length of square base b=2 cm and height h=5 cm Water is being…

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A:

Q: 3. A woman walks along a straight path at a speed of 2 m/s. A light is located on the ground 100…

A: Consider the given: Let x be the distance from the man to the point on the path closet to the search…

Q: An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per…

A:

Q: : 20 A ladder 13 ft long is leaning against a wall. The bottom of the ladder is being pulled away…

A: We have to use Pythagoras theorem and calculus to obtain our result.

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: We know, Volume of a figure = Area of a base × Height

Q: 5. A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet…

A:

Q: a girl flies a kite at a height of 300ft. the wind carrying the kite horizontally away from her at a…

A:

Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: To solve the following problem.

Q: A hemispherical dome has a diameter of 100 m. A searchlight was placed at point A located at the…

A: Length of curve s = 2 π r (θ/360°)

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A: Let s cm be the side of the square formed by the water surface in the inverted and h cm be the water…

Q: 3. After the blast-off, a space shuttle climbs vertically and a radar-tracking dish, located 1,000…

A: