d the velocity of the top of the ladder at t = 2 s if the bottom is 1.5 m from th se decimal notation. Give your answer to three decimal places.)

Q: The bending moment M of a beam of length l at a distance x from one end is given by M = Wx(l – x)/2,…

A:

Q: Suppose the centripetal acceleration of a particle moving in a circle is a = where v is the velocity…

A: Please see the below picture for detailed solution.

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: At what rate (in in3>s) is soda being sucked out of a cylindrical glass that is 6 in tall and has…

A:

Q: A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the…

A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

A:

Q: a) What is the particle's position at time 2? b) What is the particle’s displacement from t= 1 to…

A: (a) The function representing the position is  X(t)=t3-15t2+48t. To find the position of the…

Q: (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical…

A: d) From part c) the slope of the line DC is 100-h taking limit of this value as h→0…

Q: If the mass (in grams) of a par M (t) = 30e-0.05€ where t

A: Given :     for half life M(t)=302

Q: 2. The moment the batmobile passes through the point (-1, /3), the angle 0 is changing at a rate…

A: We know y=2sin θ Differentiate y with respect to t: dydt=2cos θdθdt As the point 2, 2 is in I…

Q: A wrench dropped from a state of rest at time t = 0 travels a distances(t) = 4.9t 2 mint seconds.…

A:

Q: (a) If A is the area of a circle with radius and the circleexpands as time passes, find dA/dt in…

A:

Q: 5. A 15-ft ladder rests against a verti 0.33 ft/sec, how fast, in ft/sec, is t instant when the…

A: Find the rate of increasing the ladder going away from the wall

Q: A right trianglewith dimensions of X = 3 cm and y =4cm.if Cx) is increasing at arate of 2 cml sec…

A: We will find the rate of change in z

Q: Show that the displacement after time t for motion in a straight line with constant acceleration a,…

A: Given Data: The constant acceleration is: a The initial velocity is: v0 The initial displacement is:…

Q: Suppose the length of rod, L = 50 cm is immersed in steam until its temperature is throughout u, =…

A:

Q: A particle moving along a line has the position s(t) = t* – 1812 at time t seconds. What is the…

A:

Q: 21. For the camera and rocket shown in Figure 3.4.5, at what rate is the camera-to-rocket distance…

A: Given that the distance between camera and launching pad is 3000 ft., the distance between launching…

Q: If the radius of a right circular cylinder increases and the height h of the cylinder changes in…

A:

Q: A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a…

A:

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

A:

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters…

A: Follow the procedure given below.

Q: (c) Suppose instead that we have a rectangular tank containing the same volume of water (pictured…

A: c Volume of cube =8m×1.5m×3m=36m3 volume of water =12×3×3×8=36m3 Volume of water is equal to volume…

Q: b) The mass (in kg) of a product from a chemical reaction is denoted by 'y'. The dy rate at which…

A: b Separate the terms of both the variables Then let 1+y2=z2ydy=dzand 1+t2=u22tdt=2udu

Q: You ARE TESTING A DECRSTINE CLOCK, TO POSSIBLY BE MANUFACTURED BY YOUR CONSUMER ELECTRONICS…

A:

Q: a. Water is flowing into a conical tank at a constant rate of 3 cubic meters per second. The cone…

A: The answer is given by using volume formula of cone. The answer is given as follows:

Q: Q1: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given: Let H and R be the height and radius of the conical tank respectively. H=3 m R=1.2 m Let V be…

Q: A baseball player throws a ball straight up into the air. At a height of 3.4 m above the release…

A:

Q: 11) A brake company is testing their brakes. When the brakes are pressed fully, it creates a…

A: When the brake is applied then  deceleration a = - 25 ft/s2 Car travelling speed v = 100 ft/s Let…

Q: -2€ アラーは)き Vephescuts the Velocity cneasured in meter/second) of an object at tilme t>o, compute the…

A:

Q: In the given question as follows, assume the accleration of the object is a(t)= 32 feet per second…

A:

Q: The velocity (v) of particle at distance (S) from a point on its path is given by the following…

A: Solution

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 raindrop is a perfect sphere with radius r cm and surface area S. Condensation accumulates on the…

A:

Q: A mass is attached to a spring, At time t = 0 second, the spring is stretched to a length of 10 cm…

A: Given: A mass is attached to a spring, At time t = 0 second, the spring is stretched to a length of…

Q: Two ships are sailing in the fog and being tracked on a small screen. At some point in time, t=0,…

A: Hi, thank you for the question. Since you have posted a question with multiple sub parts, as per the…

Q: The edge length of a cube is 12 cm and increasing at a rate of 2 m. How fast is the Surface Area of…

A: Given dx/dt=2cm/hr X=12cm

Q: Number 1

A: Use below steps to obtain the desired result: -Let C(t)=the amount of dye(in grams) for any time…

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

A:

Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second…

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: Ithe particle is at the point (1, ) at time t 0, how far is the particle from the origin at time t=…

A:

Q: and falls from an overhead bin and accumulates in a conical pile with a radius that is always two…

A:

Q: Suppose the depth of water in the lake at time t (where t is measured in months) is given by h(t) =…

A:

Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 – 20t, for…

A: Solve the following

Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 3…

A:

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find in terms…

A:

Q: 5. As sand leaks out of a hole in a container, it forms a conical pile whose altitude (height) is…

A:

Q: Suppose that a turtle is moving along a straight line, and its displacement s(t) at any given time t…

A: Given data: The expression for the displacement is s(t)=(t-√(t2+3)+√3). The given interval is [a,…

Q: Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What…

A: