The position of a point during the interval of time from t=0 to t=6 sec is given by s= -0.5t³ + 6t² + 4t m a. What is the maximum velocity during this interval of time and at what time does it occur? b. What is the acceleration when the velocity is a maximum ? c. Graph the position, velocity and acceleration from t = 0 to t = 6 seconds

Q: 1. The temperature of stars in the universe varies with the type of star and the age of the star amo...

A: Given: (a) the peak power density occurs at the border between red and infrared light. To find the a...

Q: In the Millikan oil drop experiment, the charge of an electron is measured by placing an ionized oil...

A:

Q: Draw FBD’s for m¡ and m2 when the m¡ is launched with a velocity to the left up while it moves to th...

A:

Q: The normal force is exerted by a surface at an angle that is A to the surface.

A: The normal force is exerted by a surface at an angle that is perpendicular to the surface.

Q: R, R4 a R R2 R, b

A: GivenR1 =16ΩR2 =25ΩR3 =41ΩR4 =74ΩR5 =77ΩR6 =73ΩI =4.5 A

Q: 6. The resistance X of an electrical component has a probability density function f(r) Ar(130 - r2) ...

A: As per our guideline we will solve only first three subparts for you. To get rameining subparts solv...

Q: 11. An electron and a proton are 0.53x10°m apart. What is their dipole moment if they are at -10. re...

A:

Q: [a] A child with mass Y kilograms (kg) who is skating westward in a hockey rink at Y centimeters per...

A: mass of first child = Y  kg mass of second child = Y kg initial velocity of first child = Y cmsec , ...

Q: 8 A 25kg child sits on a rope swing. The rope has a length of L = 3m. The swing is moved so that it ...

A:

Q: ps.// 7954d4ddfbae316f0d4#... <Week 5 Homework Colliding Cars 5 of 10 In this problem we will consid...

A:

Q: An engine has a hot reservoir that contains 20 MJ of heat energy at 400º c, and a cold reservoir tha...

A: Solution: Given that Qhot  = 20 MJ Qcold = 15 MJ

Q: What is the average density of a neutron star that has the same mass as the sun but a radius of 91.5...

A:

Q: A car starts from rest and travels at a constant acceleration of 600 kilometers per hour^2 along a s...

A:

Q: Between t = 1 ms and t = 12 ms, 19µC of charge pass through a wire. What is the current?

A: Given value--- time t1 = 1ms. time t2 = 12ms . charge = 19 micro C   We have to find--- current ?

Q: Two Cu wires have the same amount of current flowing through them. If the current also travels in th...

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

Q: A car starts from rest and foes down a slope with constant acceleration of 5m/s2. After 5s, the car ...

A: Given data :- initial velocity u = 0 m/s time taken to reach the bottom  t = 5 s acceleration a = 5 ...

Q: A hot reservoir at 170°C transfers 400 kJ of heat to a cold resevoir at 500 C. What is the total cha...

A: Temperature of the hot reservoir, TH = 170 °C = 443 K Temperature of cold reservoir, TC = 50 °C = 32...

Q: How much heat is required to convert 5.0 kg of ice from a temperature of - 10 0C to water vaporat a ...

A: Given that:- Mass of ice=5kg

Q: A 90.0-g piece of solid copper at 1000 C is placed in a thermally insulated flask tht contains 40.0 ...

A: Given,mass of the copper, m = 90.0 gtemperature, Tc = 100 °Cspecific heat, Cc = 0.0920 calg.°Cmass o...

Q: A metric bathroom scale measures weight, but is calibrated to indicate the equivalent mass of weight...

A: We know thatBathroom scale measures weight.W=m×gHereW=mass of objectm=mass of objectg=gravity accele...

Q: The electric field strength is 15500.0N/C inside a parallel plate capacitor with a 1.24mm spacing. A...

A:  Electric field =1.55×10^4  Plate capacitor with a 1.24mm spacing We have to find that what us the e...

Q: 4 Oy pushes his wooden cart with a force of 25 N through a distance of 12 m. The work done by the Do...

A: Given For Q.9 F = 25 Nd =12 mFor Q.10Volume (V)  = 2000 liters =2 m3Density (ρ) = 2119 kg/m3h = 15 m

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end ...

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts fo...

Q: Question 2. A fire truck travels at a speed of 80.0 km/h with its siren emitting sound at a frequenc...

A: speed of truck = 80 kmhrfrequency of the siren emitted by the fire truck = 400 Hz speed of car in op...

Q: Convex lenses of focal lengths 4 and 6 cm are used respectively as the object and eye-piece of a mic...

A: Given  Focal lengh of objective = 4 cm  Focal lengh of eyepiece = 6 cm  Object distance for objectiv...

Q: Find the net capacitance (in µF) of the combination of series and parallel capacitors shown below. 2...

A:

Q: omplete illustration of solutions on how answers are get Two vessels of different shape and sizes a...

A:

Q: Three electrons form an equilateral triangle 1.08nm on each side. A proton is at the center of the t...

A:

Q: A geologist is camped 4,864 m (about 3 miles) from a volcano as it erupts. (a) How much time elapse...

A:

Q: When the distance between two points charges is cut in half a. The magnitude of the electric force b...

A:

Q: The electric potential difference between the ground and a cloud in a particular thunderstorm is 8.4...

A:

Q: 2. A train travels from A to B, a distance of 20 000m, taking 1000s. The journey has three stages. I...

A:

Q: bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3, where x is the amount o...

A: GivenFx=k1x+k2x3andk1=215 N/mk2=-0.29 N/m3

Q: During one complete cycle of a heat engine process, which of the following quantities is nonzero? a....

A: Solution:

Q: A puck of mass m = 1.10 kg slides in a circle of radius r = 19.0 cm on a frictionless table while at...

A:

Q: Problem 5: A student standing on a cliff throws a stone from a vertical height of d = 8.0 m above th...

A:  Vo=19m/s  Angle =24°  d=8m We have to find the  stone had been thrown front the cliff too with the ...

Q: 4. A 130 N force is applied on the handle of a lawn mower. The handle makes an angle of 50° with the...

A:

Q: A2.30 kg "particle" traveling with velocity 7 = (2.6 m/s li collides with a 3.20kg "particle" travel...

A:

Q: Just like Louis, Maria left a book on the roof of her car before driving away. The mass of the book ...

A: mass of the book (m) = 731 grams = 0.731 kg coefficient of static friction (μs) = 0.29 coefficient o...

Q: Explain how would you relate the learnings about "Capacitors and Capacitance" to real-life situation...

A:  Capacitor  is a device which stores  electrical energy and releases it instantaneously when require...

Q: 4. Three bodies A, B, and C are connected by two cords as shown so that all three bodies move with t...

A:

Q: A circular coil (540 turns, radius = 0.033 m) is rotating in a uniform magnetic field. At t = 0s, th...

A:

Q: Two tiny conducting spheres are identical and carry charges of -15.6 μC and +46.6 μC. They are separ...

A: Given value--- charge q1 = - 15.6 micro C.  Charge q2 = +46.6 micro C.  r = 2.70 cm. We have to fi...

Q: 2.17 The critical angle for total internal reflection in a certain sub- stance is exactly 45 degrees...

A: Given that:- Critical angle=45°

Q: A object of mass 6kg thrown vertically upward direction with the velocity of 30 m/s. What is the max...

A: Given value--- mass = 6kg. initial speed = 30 m/s. We have to find--- What is the maximum height ...

Q: What ie The woltige of a 88 ohm& resjetor That hae 0.0 260 A of current flowing Though The Ferminals...

A: Given data :             Resistance = R              Current = i           To find :               V...

Q: The car moves in a straight line such that for a short time its velocity is defined by v = (2t^3 + 3...

A: Given value---  v = (2t^3 + 3 t) m/s. We have to find--- a. What is its position in meters when t...

Q: Problem 6: A football is punted from the ground, it passes through the apex of its flight, and it be...

A: Given,vhorizontal = 16.5 msvvertical = 2.25 ms

Q: A star whose temperature is 8000 K has a peak wavelength of 362.5 nm, according to Wien's Law. If th...

A: temperature of the star = 8000 K peak wavelength (λo) = 362.5 nm velocity of star (v) = 402000 kmhr ...

Q: (1) P W (2) C. The Ferris wheel consists of an upright wheel with passenger gondolas (seats) attache...

A: Given that:- In part 2:- Radius of the ride=R=50m

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –