The speed v ms-' of a particle moving in a straight course at time t seconds is v = 9t2 – 8t – 6. The distance travelled by the particle in the interval 2 < t < 6 is A 256 m в 427 m C 72 m D 472 m

The speed v ms-' of a particle moving in a straight course at time t seconds is v = 9t2 – 8t – 6. The distance travelled by the particle in the interval 2 < t < 6 is A 256 m в 427 m C 72 m D 472 m

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter1: Relativity I

Section: Chapter Questions

Problem 27P

See similar textbooks

Related questions

Q: An electron with initial velocity vo = 1.34 x 105 m/s enters a region 1.0 cm long where it is…

Q: The velocity of an object (in m/s) is given by v(t)=0.515t^2 + 2.77t - 8.15. Find the average…

Q: A car accelerates uniformly from zero to 12 m/s^2 in 8 seconds staring from rest. During the next 4…

A: initial velocity of the car = 0 msacceleration for first 8 seconds = 12 ms2acceleration for next 4…

Q: In traveling a distance of 4.8 km between points A and D, a car is driven at 105 km/h from A to B…

A: From kinematics, the expression for the final velocity is:

Q: In traveling a distance of 2.2 km between points A and D, a car is driven at 102 km/h from A to B…

Q: A car, initially at rest, accelerates at 5.08 m/s2 for 5.1 s. How far did it travel in this time?

A: we know that displacement s=ut+(1/2) at^2 where t is time , u is the initial velocity , a is…

Q: A car travels first 1/3 of the distance AB at 30 km/hr, next 1/3 of the distance at 40 km/hr, last…

A: Given value--- first speed = 30 km/ h. second speed = 40 km/h . third speed = 24 km/h . We have to…

Q: Modern oil tankers weigh more than a half-million tons and have lengths of up to one-fourth mile.…

A: (given) Distance of massive ships in 20 min. (=20×60 s=1200 s) = 5 km…

Q: A particle moves with a velocity of V= (t-15)(35 t -221 t +120) m/s Where t in s. Find the distance…

A: Solution: Expand the given expression of velocity.…

Q: A ball is thrown upward with an initial speed Vo. When the ball reaches a height of h = 2 m, its…

Q: Two cars, initially at rest and 5 km apart at t=0, simultaneously move toward each other. Car A…

A: Given data: Distance between car A and B is, d =5 km = 5000 m Speed of car A is, vA = 55 km/hour =…

Q: 7. Calculate the average speed between 0-8 seconds. * x (m) 6. 4 2. 11 -2 O 0.5 m/s O 1.25 m/s O 1…

A: From the diagram, we clearly see that the person starts travelling from x=2 m Then, he goes to x=0 m…

Q: A car moving in a straight line decelerates uniformly at a rate of 4 m/s reaching a speed of 14 m/s…

Q: The acceleration, a, of a particle, at time t seconds is given by: a = 4-t/20 m/s?. This model is…

Q: A car travelling at the speed of V m/s on a straight, level road. After the brakes are appled at…

A: Given data: Distance s =1119t3-t2+18t (1)

Q: 12 10 v (m/s) 8 10 20 30 40 t (s) iii. 15-20 seconds i. 0-5 seconds ii. 5-15 seconds iv. 20-40…

A: Speed is constant it means acceleration of that particle is constant. Also from equation of motion…

Q: Two cars of the same speed of 5 m/s approach each other on parallel tracks. If the cars were…

A: Given: Speed of the Car==5 ms The initial distance between the car=200 m

Q: At a certain time a particle had a speed of 88 m/s in the positive x direction, and 5.4 s later its…

Q: Fast Freddie can run a 400 m race in 60 seconds, slow Sam takes 90 seconds to run one. To make it an…

A: Given data: Total distance (d) = 400 m Time taken by Fast Freddie = 60 seconds Time taken by slow…

Q: 1. A bicyclist pedals at a speed of 5.0 m/s. How far does he travel in 2000 seconds?

Q: A jet plane has a takeoff speed of v 66 m/s and can move along the runway at an average acceleration…

A: Given The take-off speed of the jet plane is vto = 66 m/s. The average acceleration of the jet plane…

Q: A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 2.20 x 1015 m/s²…

A: Initial speed of proton (u) = 2.00 × 107 m/s Acceleration of proton (a) = 2.20 × 1015 m/s Distance…

Q: Pedro is driving a motorcycle along Espana boulevard. His position (in meters) at any given time…

A: Given data *Pedro's position (in meters) at any given time is x(t) = 1.124t2 + 6.022 Pedro's…

Q: the distance traversed by a particle moving along a straigh line is given by x = 180t + 50t² metre.…

A: Acceleration is the rate of change of the velocity of an object with respect to time. Here, we…

Q: The minimum stopping distance for a car traveling at a speed of 30 m/sm/s is 60 m, including the…

Q: A cheetah can maintain its maximum speed of 96.0 km/hr for 26.0 seconds. What minimum distance must…

Q: IUWGZ A bullet moving 170 m/s strikes a brick wall and comes to rest 3.6 cm inside a brick. If the…

A: initial velocity of the bullet (u) =- 170 m/s final velocity (v) = 0 m/s displacement(d) = -3.6 cm =…

Q: which of the following speeds is the fastest? a. 4.2 ' 10^-2 km/s b. 1.4 ' 10^2 km/s c. 4.0 '…

Q: edro is driving a motorcycle along Espana boulevard. His position (in meters) at any given time t is…

A: Position function is xt=1.124t2+6.022 1 Here, t denotes the time. Initial position…

Q: A car is travelling straight at 17.7 m/s. After 12 s its speed is 14.1 m/s. Find the car's average…

A: Acceleration is defined as, a = (Final velocity - initial velocity) / TimeA negative acceleration…

Q: Look at the velocity-time graph given. 12 ... 10 v (m/s) 6 4 10 20 30 40 t (s) iii. 15-20 seconds i.…

A: The velocity time graph is given for a train. The velocity of the train is plotted along y axis and…

Q: Pedro is driving a motorcycle along Espana boulevard. His position X (in meters) at any given time t…

A: Given: xt=1.124t2+6.022 ........ (1) Case 1: At initial position t=0 s. Substitute all the known…

Q: rtcile is given by the equation v = 5.0 t - 0.60 t2 (in m/s). At t=0, the particle is at rest. At…

A: Givenv=5 t-0.6 t2 (m/s)

Q: relation

A: The slope of the velocity-time graph can be used to give the acceleration of any object. If the…

Q: A steamship parked in the port. She left The port is acelerated at an acceleration of 0.8 for a…

Q: A car drives straight off the edge of a cliff that is 104 m high. The police at the scene of the…

Q: airplane starting from the rest uses 1000m of runway length to acquire a take off speed of 150 m/s.…

Q: An object with intial speed of 12 m/s west, accelerates constantly for 4 s by 3 m/s2 east. By this…

Q: a = 2m/s?for 4 seconds. During these 4 seconds, how far has the car traveled? 48 m 56 m 44 m O 65 m

A: Given value--- initial velocity = 10 m/s . acceleration = 2 m/s . time = 4 s . We have to find---…

Q: A car travels 20. meters east in 1.0 second. The displacement of the car at the end of this…

A: The displacement is a vector quantity. It is always associated with direction.

Q: A typical Formula One race car can accelerate from 0 to 300 km/h (83.33 m/s) in under 10 seconds.…

A: Intital velocity u= 0 Final velocity v= 83.33m/s Time t= 9.5s

Q: You are driving home from university at a constant speed of 90 km/h for 180 km. You then slow down…

Q: t rate over a distance of 178 m. The entire trip lasts a total duration of 18.7 s. What were the…

A: We know that a car starts from the rest and then accelerates at a constant rate over a distance of d…

Q: Usain Bolt wants to complete a10kilometer-run in less than30 minutes.After running at constant speed…

Q: A train starts from rest and accelerates uniform 420 s. The train then slows down uniformly at O…

A: Given Initial velocity of train = 0 Distance travel = 5.6 km from the start Velocity of train at the…

Q: The car moves in a straight line such that for a short time its velocity is defined by v = (2t3 +…

A: Given : velocity = (2t³ + 3t) m/s To find : Position and acceleration

Q: A car is speeding up from a red light. At time t the distance in meters the car has traveled is…

A: Velocity is defined as the rate of change in position and it is given as v(t) =…

Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Show clearly all working with detailed explanations

The speed v ms-1 of a particle moving in a
straight course at time t seconds is
v = 9t2 – 8t – 6. The distance travelled by the
particle in the interval 2 <t s 6 is
А 256 m
B 427 m
C 72 m
D 472 m
50.
V
B

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 by step

Solved in 2 steps with 2 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

An observer sees two events 1.5108s apart at a separation of 800 m. How fast must a second observer be moving relative to the first to see the two events occur simultaneously?
A spaceship, 200 m long as. seen on board, moves by the Earth at 0.970c. What is its length as measured by an earthbound observer?
. A compact neutron star has a mass of kg (about 1.4 times the mass of the Sun) but a radius of only m (approximately 6.2 mi!). If a clock on the surface of this exotic star marks the passage of 1 h of time, how much time is observed to pass on an identical clock located a very large distance from the neutron star?
Check Your Understanding Shaw that if a time increment dt elapses for an observer who sees the particle moving with velocity v, it corresponds to a proper lime particle increment for the particle of d=dt.
Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
Check Your Understanding a. A particle travels at 1.90108m/sand lives 2.10108swhen at rest relative to an observer. How long does the particle live as viewed in the laboratory? b. Space craft A and B pass in opposite directions at a relative speed of 4.00107m/s . An internal clock in space craft A causes it to emit a radio signal for 1.00 s. The computer in spacecraft B corrects for the beginning and end of the signal having traveled different distances, to calculate the time interval during which ship A was emitting the signal. What is the time interval that the computer in spacecraft B calculates?
If relativistic effects are to be less than then must be less than 1.03. At what relative velocity is
A neutral meson is a particle that can be created by accelerator beams. If one such particle lives as measured in the laboratory, and when at rest relative to an observer, what is its velocity relative to the laboratory?
. If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be traveling?
A neutron lives 900 s when at rest relative to a observer. How fast is the neutron moving relative to a observer who measures its life span to be 2065 s?
The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.
(a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator, if =1.00105 for them? (b) What is their total energy (nearly the same as kinetic in this case) in GeV?