Problem 2: The position of a particle on a straight line is given by s = (t³ - 9t² + 15t where t is in seconds. Determine the position of the particle when and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled

Problem 2: The position of a particle on a straight line is given by s = (t³ - 9t² + 15t where t is in seconds. Determine the position of the particle when and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...

See similar textbooks

Related questions

Q: A capacitor has an initial charge of 10 µC. It is observed that after discharging for 2ms through a…

A: Write the expression of the charge after discharging. q=q0e−t/RC

Q: 1.) If you use a measuring tape to measure a stick's length five times (least count: 1 mm) and get…

A: The proper form for the length L, given the information provided, is 123.57 +/- 0.56 cm. The average…

Q: If you were to fire a paintball pellet horizontally, at a set height, and at the same time drop an…

A: Given data: The pellets are identical. Both the pellets are dropped from the same height.

Q: A wave traveling to the right has a wavelength of λ = 3.10 m, frequency of f= 5.60 Hz, amplitude…

Q: the reaction at A and the tension in the cord. D A 150 N 240 mm-240 mm- Fig. P4.70 B 200 mm 360 mm

Q: Solve the following problems. Show your solution solutions. disg eru sent 961. Shelley threw a…

Q: A lightning rod on top of a building consists of an iron spike 1.5 m long with a circular…

A: Given data: Length (L) = 1.5 m Diameter (d) = 1.5 cm = 0.015 m Current (I) = 1000 A Resistivity (ρ)…

Q: A hollow cylindrical conductor of a and b radii is crossed by a uniformly distributed current.…

Q: How much heat is required to raise the temperature of 40 g of water 20 degrees C? (c=4.18*…

Q: An electric bulb is connected with the generator of 220V. The current flow in bulb. is 0.50A.…

A: Given: Voltage (V) = 220 volt Current (I) = 0.50 A

Q: A cannonball is fired from a gun with an initial speed of 250 m/s at an angle of 35^0 above the…

A: Given data: Initial velocity (u) = 250 m/s Angle (θ) = 35°,above the horizontal Required: The…

Q: A 5.0-kg cart moving to the right with a speed of 2.0 m/s has a head-on collision with a 10.0-kg…

Q: A double-slit experiment is performed using a slit separation of 0.12 mm with a screen placed 85.0…

Q: Calculate the angle of refraction at the air/core interface. • nair = 1, ncore = 1.47, ncladding =…

A: Given data as per the question nair=1ncore=1.47ncladding=1.45θincident=30

Q: A cricket player accelerates the ball from a velocity of 5.5 m/s to 39 m/s in one direction. If…

A: Initial velocity, u = 5.5 m/s Final velocity, v = 39 m/s Change in velocity, ∆v = 39 m/s - 5.5 m/s =…

Q: A 5.7 kg block is placed on a 57 degree incline. The coefficient of kinetic friction between the…

Q: The charge to mass ratio of the electron was first measured by J. J. Thompson in 1897. This is often…

A: Given:length of the plates, Ldeflection of beam during exit, yinitial velocity of the electrons, vo…

Q: In the Earth reference frame, a 150-kg probe travels at 0.860c, while a 250-kg probe travels at…

Q: 2) A clock is advertised as being 99% accurate. Would you buy it? 3) Check the following equations…

Q: A tank contains water vapor, water droplets, and chemically inert helium gas. How many independent…

A: Gibbs phase rule gives the relationship between the number of phases and number of constituents in a…

Q: Find the following for path A in the Figure, measuring the displacements from the back of the arrow,…

A: We have to find the distance and magnitude of displacement for path A. Hence we have to take help…

Q: 15.0cm 100cm gravity direction (a) Find the net electric force on q₁. (1 nC = 10°C) Give answerin…

A: Given, q1 =-6.25 nCq2 =+2.00 nCq3 =-1.25 nC 1 nC = 10-9 C Distance between q1 and q2 , r12 = 15.0 cm…

Q: 5: Freight trains can produce only relatively small accelerations and decelerations. Part (a)…

Q: Monochromatic light from a He- Ne laser (lambda = 632.8 nm) is incident on a diffraction grating…

Q: How many watts of power do you expend when you exert a force of 50 N that moves a crate 8 m in a…

A: Given data: Force (F) = 50 N Distance (d) = 8 m Time (t) = 4 s Required: Power (P)

Q: In a liquid with a density of 1500 kg/m3kg/m3 , longitudinal waves with a frequency of 440 HzHz are…

A: According to guidelines we need to solve only first question kindly repost other questions in the…

Q: A particle moves along the x-axis according to x(t) = 32t - 4t² m. (Round all answers to at least…

A: Displacement equation, x(t) = 32t - 4t² m We're required to find unknowns in all parts.

Q: A cement block accidentally falls from rest from the ledge of a 60.9-m-high building. When the block…

Q: A particle moving along a straight line decelerates according to a = -kv, where k is a constant and…

Q: Two thin rods of length 28.5 cm are placed side-by-side as shown below, separated by a distance x =…

Q: Take note that the acceleration is negative because she has slowed down. What Have I Learned So Far?…

Q: Two small spheres spaced 20 cm apart have equal charge. How many excess electrons must be present on…

A: distance = r = 20 cm = 0.2 m force = F = 4.57 X 10-21 N Charges q1 = q2 = q

Q: 5. You are investigating the power output of a speaker to ensure it is safe to use at an outdoor…

A: Intensity is defined as power per unit area. In this case, the area is a sphere with the speaker at…

Q: ermine the angle for connecting member A to the plate so that the resultant force of FA and FB is…

A: Given, The resultant force of FA and FB is directed horizontally to the right.FA = 8 kNFB = 6 kN In…

Q: 2) A clock is advertised as being 99% accurate. Would you buy it? (o) out of sy na propagande auf…

A: It depends on the context and the intended use of the clock. If the clock is being used for a…

Q: An aluminum beam is 10.0 m long at a temperature of 25.0 °C. The temperature of the beam is raised…

A: Given data: Original Length (L0 ) = 10.0 m Initial temperature (T0 ) = 25.0°C Final temperature (T)…

Q: You wish to cool a 1.95 kg block of brass initially at 80.0°C to a temperature of 41.0°C by placing…

Q: 1 , A small metal bead, labeled A, has a charge of 28nC. It is touched to metal bead B, initially…

Q: The surface of an ideal molecule of table salt (NaCl) is a square with a chemical structure as shown…

Q: Modified TRUE or FALSE. Give the CORRECT answer when the STATEMENT IS false. A non-free fall object…

A: When an object reaches its maximum velocity,the velocity is called terminal velocity.

Q: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance.…

Q: A team of dogs is pulling a person in a sled in the snow. The dogs are attached by a harness that is…

Q: Given the arrangement of charged particles in the figure below, find the net electrostatic force on…

Q: A human-powered airplane, the Gossamer Albatross, flew from England, to France. It covered a…

A: Given value--- total distance = 38.5 km . total time = 2 h 49 min . We have to find--- average…

Q: Three charged particles are located at the corners of an equilateral triangle as shown in the figure…

A: Draw the free-body diagram of the system.

Q: To lift a patient, four nurses grip the sheet on which the patient is lying and lift upward. If each…

Q: Table 4. Velocity and Range Data for all Ramp Distances Ramp Distance (m) 0.43m Calculated velocity…

Q: A uniform electric field exists in the region between two oppositely charged plane parallel plates.…

Q: *The total internal kinetic energy of 5 gallons of water is 2 x 108 J. The total kinetic internal…

Q: 1. A vector A has a magnitude of 58.0 m and points in a direction 20.0° below the positive x axis. A…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

100%

show fbd and complete solutions for upvote

Problem 2: The position of a particle on a straight line is given by s =
(t3
- 9t² + 15t where t is in seconds. Determine the position of the
particle when and the total distance it travels during the 6-s time
interval. Hint: Plot the path to determine the total distance traveled

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.
Hi please help, I am not sure how to solve this problem. If you are walking 400m east but then decide to turn back and walk 700m west, all within 10 minutes, what is the total distance that you covered and what is the displacement relative to where you started? Assume that east is the positive direction
Problem 2 Suppose the position of particle 1 is given by the vector r1 (4t2 i+ 2 j) and the position of particle %3D 2 is given by r2 = (2 i - t j) where t represents time. Both vectors are dimensionless. A. Find the vector R = r, - r2 which is the difference in position between the two particles at any time, and the separation at t = 2. Note that the separation is the magnitude of R. Give your answer to 3 significant figures. B. Find the vector V, which is defined as V = v1 - V2, Where v, is the velocity vector of particle 1 and v, is the velocity vector of particle 2. Note that you get the velocity vector by taking the time derivative of the position vector. Please upload file that has your initials in the file name. For example, if your initials are FDR, the name your file "Week2QuizProb1_FDR.pdf". Upload Choose a File
Sammy the sugar glider is out one morning foraging for fruit. He waddles his body along a tree branch 4.2m at 30degrees EoN and then turns and leaps and glides to a nearby tree that is 6.5m at 15degrees NoW. Using the triangle method, what was his overall displacement?
A group of bird watchers sights a bird 120 feet due west of their position. The bird is flying due south at a rate of 400 feet per minute. a) sketch a labeled picture that represents this situation. Use s for the distance ( in feet) that the bird has flown, and d for the distance between the bird and the bird watchers after t minutes( where t>0) b) Express d as a function of s c) Express s as a function of t d) Find d of s What does it represent d of s = it represents__________________________________________________________________________________________________________________________________________________
The position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write the particle's velocity at time t = (pi / 6) as the product of its speed and direction.
Mimi leaves home to travel 6.5mi due east. Then She goes 3mi due south and in the last leg she goes 4mi, 25degrees W of S. Give her total distance traveled, what is her displacement and my angle and direction.
A point moves in a circle at a constant speed of 35cm/sec. The period of one complete journey around the circle is 20sec. At t = 0 the line to the point from the center of the circle makes an angle of 30° with the x axis. a) Obtain the equation of the x coordinate of the point as a unction of time, in the form x = A cos (ωt + φ), giving the numerical values of A, ꞷ and φ. b) What are the values of x, dx/dt, and d2x/dt2 at t = 4 sec.
A particle r = (2t3 + 3t) i + (4 - 5t2) j - t4 k given time-dependent positionIt moves with the vector. Here r is in meters and t is in seconds. a) How far has the particle traveled after the first 3 s? b) What is the angle between the velocity vector and the position vector at time t = 2 s?
A ball is thrown following a projectile motion.It is known that the horizontal distance (range) the ball can travel is given by R=v0²/g sin 20 ,where r is the range (in feet) ,v0 is the initial speed (in ft/s),0 is the angle of elevation the ball is thrown and g=32 ft/s² is the acceleration due to gravity. A. Express the new range in terms of the original range when an angle 0(0
Suppose you first walk 11 m in a direction 20° west of north and then 24.5 m in a direction 40° south of west. a) What is the component of your displacement in the x-direction, in meters? b)What is the component of your displacement in the y-direction, in meters? c) How far are you from your starting point in meters? d)What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees? Please show all work so I can understand
Hi! Please answer this! Thank you so much:) 1. What is the displacement of a runner who joins a marathon if the race begins at a certain park, runs 42km, and finishes the race at the same location in the said park? Explain briefly. 2. One afternoon, a couple walks three-fourths of the wayaround a circular lake, the radius of which is 1.5 km.They start at the west side of the lake and head duesouth to begin with. (a) What is the distance theytraveled? (Cutnell and Johnson, 2012) (b) describe thecouple’s displacement as compared to the distancetraveled.