What is the velocity (in ft/s) of a sandbag 0.25 s after it is released from a hot-air balloon that is stationary in the air? ..... The velocity is ft/s.

Q: velocity

A: We have : h=12t2+12t We have to find the velocity of the balloon at the end of the 39 sec.

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

A:

Q: A hot-air balloon is 150 ft above the ground when a motorcycle (traveling in a straight line on a…

A: Let x be the distance the motorcycle has traveled. Let y be the height of the balloon above the…

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: Given that,

Q: A spherical balloon is inflated with air at a rate of 32 cm3/ min. At what rate does the radius…

A: Find dr/dr.

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

A:

Q: A softball diamond has the shape of a square wide sides 60 ft long. If a player is running from…

A: A softball diamond has the shape of a square with sides 60 ft long. A player is running from second…

Q: At what rate is water pouring into a rectangular bathtub with base 65 fť if the water level rises at…

A: According to the given information it is required to calculate the rate at which water is pouring…

Q: 3. What is the velocity after 7 seconds?

A: Explanation of the answer is as follows

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at…

A:

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A: Given,            Rain is falling into a cylindrical barrel at the rate of 20 cm3/min.…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

A:

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

A:

Q: (b) What is the displacement of the snail over the interval 0 <ts 15 minutes?

A:

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

A:

Q: Find the velocity, v, of the tip of the minute hand of a clock, if the hand is 8 cm long. cm per…

A: Given  r= 8 cm or 0.08 m  Calculate linear velocity (v) Formula for linear velocity is given by  V =…

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

A:

Q: On a day  when the wind is blowing toward the south at 3 m/s, a runner jogs west at 1.9 m/s.what is…

A: Let V1 be the velocity of the air and V2 be the velocity of the runner, then the relative velocity…

Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow…

A: a rough sketch of the problem will be as follows:

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3 /min. If the radius of the base is…

A:

Q: An object thrown downward from a 500-m cliff travels 57.2 m in 3 sec. What was the initial velocity…

A: We have to find the initial velocity of the object.

Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

Q: An object is thrown vertically upward with an initial velocity of 16 ft/sec from the top of a house…

A:

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: Between 1 seconds and 9 seconds the ball's average velocity is If necessary, round the answer to two…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

Q: a) When does the top of the ladder reach the ground? b) Determine the velocity of the end of the…

A:

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

A:

Q: A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a rope…

A: To find: The speed of the boat approaching the dock when the total length of rope out is 50 feet.…

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At which rate is the angle…

A: Given,  Consider the height of the lite from the ground is 100 ft. The speed is dxdt=8 ft/s. To find…

Q: A car braked with a constant deceleration of 8 ft/s2, producing skid marks measuring 100 ft before…

A: constant deceleration of 8 ft/s2  skid marks measuring 100 ft

Q: A car braked with a constant deceleration of 16 fts 2 , producing skid marks measuring 200 ft…

A: Given, deceleration a(t) = 16 ft/sec2. s(0) = 0 ft and s(T) = 200 ft and v(T) = 0. Where T is the…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given information:

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

A:

Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at 180…

A: To  Determine: How fast will your camera angle u be changing when the car is right in front of you?…

Q: An impulse of -9 N*sec is applied during 3 seconds to a 2Kg mass, the acceleration is:

A:

Q: The base x of the right triangle in the figure increases at a rate of 6 cm/s, while the height remai

A: In this question we will use basic of calculus i.e application of differentiation. We will first…

Q: . A kite 100 ft above the ground moves horizontally at aspeed of 8 fts. At what rate is the angle…

A: At what rate is the angle between the stringand the horizontal decreasing when 200 ft of string has…

Q: at a velocity of 3 ft/

A: Given the spring constant is 9 lb/ ft.

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A:

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: topic-equations