at a velocity of 3 ft/

Q: A ball is shot straight up into the air with initial velocity of 45 ft/sec. Assuming that the air…

A: we know third law of equation of motionv2=u2+2aswhen ball reaches to highest point then final…

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

A:

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: An engineer is experimenting with a cylindrical can with a fixed height of 15 in. Find the rate of…

A: GIVEN-  A CYLINDER OF HEIGHTS 15 inch is given AND RADIUS =4 inch TO FIND -  RATE OF CHANGE OF…

Q: find the rate at which the volume of a right circular cylinder of constant altitude 10 feet changes…

A: Given  Altitude=10feet We need to find the rate at which the volume of a right circular cylinder…

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

Q: The radius of a sphere decreases at a rate of 1 m/se decreases when the radius is 15 m

A:

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 rocket is fired vertically upward from the ground with an initial velocity of 580 ft / sec. How…

A: Given : Initial velocity = 580 ft/sec

Q: A rectangular trough is 10ft. long and 3ft. wide. Find how fast the surface rises, if water flows in…

A: Since you have asked multiple questions in a single request we will be answering only the first…

Q: Find the rate at which the surface area of the water changes when the water is 10 ft high if the…

A:

Q: A vertical cylinder is leaking water at a rate of 3 m/sec. If the cylinder has a height of 10 m and…

A: The volume of the cylinder is given by V=πr2h, where V=volume of the cylinder r=radius of the…

Q: The radius of a spherical balloon is decreasing at a rate of in/sec.

A: Radius of balloon = r = 4 inchesDecreasing rate of balloon = drdt = -2πinches/secondVolume of…

Q: A kite 100 feet above the ground moves horizontally at a speed of 10ft/s. At what rate is the angle…

A: Let the horizontal distance be x. From the given data of question: And the diagram is:

Q: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity of 125 ft/s.…

A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

Q: A 15-meter ladder is resting against a vertical wall. if the bottom of the ladder is being pushed…

A:

Q: The surface area of a sphere increases at a rate of 90 m/sec. Then the rate at which the radius…

A:

Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5…

A:

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: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

Q: The surface area of a sphere increases at a rate of 55 m²/sec. Then the rate at which the radius…

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: A kite flies at a constant height of 30 meters above the ground in a wind that blows it horizontally…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the velocity (in ft/s) of a sandbag 2.5 s after it is released from a hot-air balloon that…

A: Given that a sandbag is released from a hot-air balloon that is stationary in the air. Then we have…

Q: The velocity function (in meters per second) is given for a particle moving along a line.

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: An egg is thrown off the roof of a 60ft. building with an initial velocity of 6.5 ft/s. How long…

A: Given initial velocity = 6.5fts

Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

A:

Q: A rocket lifts off the surface of Earth with a constant acceleration of 20 m/sec2. How fast will the…

A:

Q: An object is thrown vertically upward from a point 32 feet above the ground with an initial velocity…

A:

Q: The volume of a cube increases at a constant rate of 135 ft°/ sec. The rate at which the side of the…

A:

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

A:

Q: at what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec?

A: The volume of a cube is: Where, a is the edge of the cube. Formula used:

Q: What is the displacement of an object that travels at a constant velocity of 10 mi/hr for a half…

A: Consider the given information 10mihr for a half hour and  20mihr for a next half hour and 30mihr…

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 spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

A:

Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to…

A: Given query is to find differential equation.

Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

A:

Q: A conical cistern of height 5 ft and 7 ft across the top is being filled at a rate of 5 ft3/s while…

A: A conical cistern is given whose height is 5 ft and diameter at the top is 7 ft. A conical cistern…

Q: A cube is expanding in such a way that the length of its diagonal is increasing at a rate of 5…

A: Let y be the diagonal, x be the length of an edge and V be the volume of the cube at any time t.…

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

A: Let x= horizontal distance L= length of string,  Then a rough sketch of the problem is as follows:

Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: . A vertical cylinder is leaking water at a rate of 1 ft /sec. If the cylinder has a height of 10 ft…

A:

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

A:

Q: If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the…

A: It is given that the basketball hoop it 10 feet high and located 15 feet away.

Q: A ball is shot straight up into the air with initial velocity of 49 ft/sec. Assuming that the air…

A: See the details solution in below

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

A:

Q: A cannon is fired at an angle of 75° with the ground at an initial velocity of 250 m/s. Calculate…

A: To find the speed

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.