A car moves according to a law of motion $ = f(t) = t-12t2 + 36t, t2 0, where s and t are measured in seconds and in feet, respectively. 1. When is the car at rest? 2. When is the car moving in the positive dircction? 3. Find the total distance traveled during the first 8 second. 4. Draw a diagram that illustrates the motion of the car.

Q: According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the…

A:

Q: A spring has natural length 27 cm. Compare the work (in J) W, done in stretching the spring from 27…

A: So  W1 = 4k125 J

Q: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28…

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring…

Q: A particle moves in a straight line with the given velocity v(t) = 4t-2 – 1 (in m/s). Find the…

A:

Q: The volume of a cylinder of height 11 inches and radius r inches is given by the formula V 11πr?. dV…

A:

Q: w = - 6 sec²(3x) – V8 )dx. Evaluate W W 5 3 6x+9

A:

Q: Find mZJ. H. 5/2 5/2 J mZJ = Submit Work it c Not feeling ready yet? M

A: In the given right triangle HIJ HJ = HI

Q: Three masses are suspended vertically by a series of identical springs where mass 1 is at the top…

A: From the given question, the forces acting on the first mass are F1=kx1 in the upward direction and…

Q: *A ball is dropped from a viscous fluid frcm rest with a resisting force numerically equal to 0.01V…

A: Given problem is :

Q: ​Hooke's law for an elastic spring states that the distance a spring stretches varies directly as…

A:

Q: dv If the volume of the cube increases at the rate of 15 m / sec, then the value of is dt dv dV a) =…

A: Find the value value of rate of increase of volume of a cube

Q: A particle moves according to a law of motion s = f(t) = t3 - 12t2 + 45t, t  0, where t is measured…

A:

Q: ppose that a particle moves along a straight line with velocity v(t) = 14 – 6t, where 0 <t < 2 (in…

A: To solve the following problem on distance and displacement

Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: (c) If a ball is initially thrown in the upward direction so that vo > 0, show that it reaches its…

A:

Q: A spring has natural length 28 cm. Compare the work (in J) w, done stretching the spring from 28 cm…

A: We have to use the hooks law to solve this problem.

Q: A particle starts to move at Q and travels in a straight line with velocity v cms*, where v = 2t-t…

A: Given a. Since at A the particle comes to rest, v=0. Plugging the value and solving for t: Since…

Q: Hooke's law for an elastic spring states that the distance a spring stretches varies directly as the…

A:

Q: [T] A batter hits a ball toward third base at 75 ft / sec and runs toward first base at a rate of 24…

A:

Q: AP is When the side a of a cube increases with time t, the change in volume dt O a. da За- dt O . da…

A:

Q: It takes 90 J of work to stretch a spring 1 m from its equilibrium position. How much work is needed…

A: Use the formula for work done for stretching the spring by length x From its equilibrium position.

Q: Water is flowing into a conical vessel 20 cm deep and 10 cm across the top when the depth of water…

A:

Q: ] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30…

A:

Q: "Hand-in question": Suppose that for some physical phenomenon pressure (P, with [P] ML-'T-²), length…

A: The complete solutions are given below

Q: A spherical snowball is melting in such a manner that its radius is changing at a constant rate,…

A:

Q: A spring has natural length 27 cm. Compare the work (in J) W, done in stretching the spring from 27…

A: Let a spring with spring constant k, has initial length=L, applying a force it new length =x+L, that…

Q: 236 A 1-m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to…

A: Given natural length of spring=1 mWork done to stretch it to 1.1 m is 10 JSo, W1=10 J, L0=1 m and…

Q: The volume of a cylinder of height 10 inches and radius r inches is given by the formula V 10rr2 AP…

A:

Q: 7. Amy is hauling a toy car of mass 4 kg which was at rest earlier on the floor. If 50 N is the…

A: Explanation of the answer is as follows

Q: O H.W 2: Two cars, one going due East at a rate of 90 km/h and the other going due South at a rate…

A: Find the rate of approaching each other

Q: The radius of a sphere decreases at a rate of 2 m/s. when the radius is 6 m, then the rate at which…

A:

Q: The volume V of a nght circular cylinder of radius r and height h is V= 7rh. (a) How is related to…

A:

Q: Water is poured at a rate of 10 cubic meters per minute into a conical tank 6 meters across the top…

A:

Q: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…

Q: A spring has natural length 25 cm. Compare the work W, done in stretching the spring from 25 cm to…

A:

Q: Cuntainr GOULA sulatunr tun cuntaining 597L of the into the fank at a rate cf he well-s7imed mixtuie…

A:

Q: Consider the accompanying diagram. Ball A is allowed to fall and strike ball B. Assumethat all of…

A:

Q: A body above the surface of the earth is pulled toward the center of the earth. If the radius of the…

A:

Q: Which of the followings is spring of constant radius? O

A: For the solution follow the next step.

Q: Elampei et an object moves r(4)= tit12tj+ 3.64 k aspostion@t=2 k) Velocity @ tz/ ) speed d)…

A:

Q: 3. A body moves along a horizontal line in accordance to s= t3 + 9t2 + 24t. Find the total distance…

A: Given, s=t3+9t2+24t To find: Total distance travelled in first 5 seconds of its motion.

Q: A partide moves along the x-axiİS, The velocity of the particle at time t is ot-t.A gřaph is given…

A: Given, The velocity of the particle at time t is vt=6t-t2

Q: j íf the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A: Given that

Q: A simple spring is used to measure force. The spring is considered to be linear, so that F = kx,…

A:

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m Compression Length=0.5 m Total compression =∆x=l0-l=0.5m

Q: The Darcy–Weisbach equation states that the power-generating capacity in a hydroelectric system that…

A:

Q: The side of a cube increases at a rate of 10 m/sec. Find the rate at which the volume of the cube…

A: Let the side of the cube be x meter at time t  So, it is given that, dx/dt = 10 And, the volume of…

Q: In developing a paint line process for an appliance manufacturer, a given component on a conveyor…

A: We will find the solution in the following step.

Q: According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the…

A:

Q: A tank holds 90 gal of water, which drains from a leak at the bottom, causing the tank to empty in…

A: