2. A car is traveling at the rate of 88 ft/sec when the brakes are applied. The car begins decelerating at a constant rate of 12 ft/sec2, how many seconds elapse before the car stops? And how far does the car travel during that time? (hint: Assume that the initial position s(0) = 0)

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m^3/min.…

A: Given Height of canonical tank=3 m and Radius of canonical tank =2 m and dvdt=2 m3/min.     .....1

Q: A volunteer rescue truck goes downhill to relocate families situated at the lowlands of Taal…

A: A truck goes downhill to recuse family Givem inclined 35° and uniform speee 3m/s

Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

A:

Q: 1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

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: The volume of a cone of radius r and height h is given by V=1/3pir^2h. If the radius increases at a…

A: Volume of a cone = πr2h3 , Where r= radius of a cone and h= height of a conedrdt= 0.5cm/sec , dhdt=…

Q: A ball is thrown vertically upward with an initial velocity 15 m/s from an          initial height…

A: Use the kinematics equation to solve the problem and at the highest position the final velocity will…

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

A:

Q: An elementary reaction is generally expressed as: dC, = -kC," dt where A is the species being…

A: Given :          Elementary reaction is dCAdt = -kCAn.          Decay is 1st order reaction, so n…

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: 1) A baseball diamond is a square whose sides are 90ft long. Suppose that a player running from…

A: Given : Side of Baseball diamond square =90 ft. Drawing the diagram of the whole situation,

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A:

Q: 19. A conical glass whose radius is 5m and altitude 12m is being filled at the rate of 10 m. How…

A: For conical glass, Radius r=5 m, Height h=12 m, Rate of filling dVdt=10 cm3/s.

Q: A vertical cylinder having a circular base of radius ‘r’ and a height of 12 m is filled with water…

A: The cylinder is filled with water at the rate of 1 m/min. To Find: If the depth of water in the…

Q: A weight W is attached to a rope 50 ft long which passes over a pulley at P, 20 ft above the ground.…

A: Given: - A weight W is attached to a rope 50 ft, long which passes over a pulley at P, 20 ftabove…

Q: A vertical cylinder having a circular base of radius ‘r’ and a height of 12 m is filled with water…

A:

Q: 12. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 20…

A:

Q: A 18 ft ladder leans against a wall. The bottom of the ladder is 5ft from the wall at time t=0 and…

A:

Q: A mass weighing 64N stretches a spring 0.32m. The mass is initially released from a point 8 m above…

A:

Q: 1. We are inflating a spherical balloon. At what rate is the volume of the balloon changing when the…

A: Since you have asked multiple question (1&2) we will solve the first question for you. . If you…

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s  find the length of ladder = ?

Q: The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the…

A: Solve for the length of ladder

Q: 4. A leaking triangular trough, 5 ft across, 9 ft in length and with a depth of 6 ft, is continually…

A: Given that, the length L= 9 ft, the rate of filling = 17 ft3/min and the rate of leaking = 0.25…

Q: A 32-lb weight stretch a spring 2ft. At t = 0, the mass is released 1 ft above the cquilibrium…

A: The solution is given below

Q: udent is walk

A: Here it is given that,  A student is walking towards the foot of a flagpole 20 meters high at the…

Q: An 80-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having…

A: We have given that the spring constant (k)=62.6 lb/ft, weight =80 lb and mass=8032=2.5 lb s2/ft We…

Q: 13. A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2 m…

A:

Q: 7. A spherical balloon is being filled in such a way that the surface area is increasing at a rate…

A:

Q: 18. A light is on the top of a 4-meter tall pole and a 1.5-meter tall person is walking away from…

A:

Q: With what initial velocity must an object be thrown upward from a height of 8 feet to reach a…

A:

Q: 19.) A cyclist traveling at 40ft/s decelerates at a constant 4 ft/sec?. How many feet do they travel…

A:

Q: The air in a small room 12 ft by 8 ft by 8 ft is 5% carbon monoxide. Starting at t = 0, fresh air…

A: Let v(t) be the volume of CO in the room at time t, and let V be the total volume of the room.The…

Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: Let's find.

Q: 3. A flare is fired straight up from the ground with an initial velocity of 100 ft/s. How long will…

A: The position equation is given by: s=-16t2+v0t+s0 Where s is the final position, s0 is the initial…

Q: Q 3. A cylindrical tank with radius 5 m is being filled with water at a rate of 1.25 m3/s. How fast…

A: Given,          Radius of the tank (r) = 5m and rate of filling the tank is 1.25m3/s.Now,

Q: At what rate is the height of the water rising at the instant the tank is half full?

A: To find the rate at water rising

Q: A volunteer rescue truck goes downhill to relocate families situated at the lowlands of Taal…

A: Path of truck is inclined downwards 35 degrees with the horizontal. We must visualize it and try to…

Q: 1. A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute,…

A: The given question can be solved as shown in step2.

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A:

Q: If a spherical balloon is being filled with air at a constant rate of 2 cm³/s, at what rate is the…

A: Let r be the radius of the balloon in cm and V be the volume in cm3. The variable t stands for time…

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

A:

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and…

A: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and…

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

A:

Q: 3. The period of free undamped oscillations of a mass on a spring is sec. If the spring constant is…

A: Given: We have to find: Numerical value of weight.

Q: A 14-foot ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate…

A:

Q: A 5m long ladder has its upper end leaning against a vertical wall and lower end on a perfectly…

A:

Q: A 19 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and…

A:

Q: 1. The volume of a cube decreases at a rate of 12 m/sec. Find the rate at which the side of the cube…

A: This question is related to application of derivatives.