The velocity of an object v(t) is shown in the graph below.v(t) = t4 – 3t2 and v '(t) = 4t3 – 6t108.4-4-6--8--10-Time (s)What is the average acceleration on the interval [-2, 1]?0 2.5 플00프O -20 -2.5 프Velocity (m/s)

Answered: Image /qna-images/answer/de24d74f-6cb4-4015-bdfd-21ff4dc22955.jpg

The velocity of an object v(t) is shown in the graph below. v(t)=tª – 3t² and v (t) = 4t3 – 6t 10- -3 -2 -4- -10 Time (s) What is the average acceleration on the interval [-2, 1]? Velocity (m/s) 08042N T

The velocity of an object v(t) is shown in the graph below. v(t)=tª – 3t² and v (t) = 4t3 – 6t 10- -3 -2 -4- -10 Time (s) What is the average acceleration on the interval [-2, 1]? Velocity (m/s) 08042N T

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter2: Motion

Section: Chapter Questions

Problem 10E: A race car traveling northward on a straight, level track at a constant speed travels 0.750 km in...

See similar textbooks

Related questions

Q: A particle leaves the origin with initial velocity vo = 1li + 18j m/s, undergoing constant…

Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Given: Let, the time to drive from Santa Cruz to San Jose is t1, and the time taken back to the…

Q: A vehicle travels on a straight stretch of road. Its position coordinate x (km) measured from a…

A: Given data The position coordinate is x = 4t3+21t2+18t+4 The duration of travelling is t = 1 hr On…

Q: A body moving in a straight line. The following equation determines its position 3-x-2+t(t), knowing…

A: Body is moving in straight line 3-x = 2+ t(t) X = 1-t2

Q: A car travels at a constant rate for 25 miles, going due east for one hour. Then it travels at a…

A: Given 25mile in 1st hour 60 mile in 2nd hour Rate of motion is constant. " Velocity at particular…

Q: 29. The graph below represents the relationsnp between speed and time for an object moving along a…

Q: An automobile with an initial speed of 15 m/s slams on the breaks and decelerates at a rate of -5…

Q: A toy car moving in the -x direction experiences an acceleration of +1.5 m/s2. What does this mean?…

Q: A ball is thrown so that the motion is defined by the equations x = 5t and y = 2 + 6t - 4.9t2, where…

Q: The equation below describes the position of a particle in a rectilinear path, where x is in…

Q: Spyros the cat got hungry. He left his bed to go to his food bowl. His velocity was v(t) m/s…

A: v(t) is the velocity

Q: A particle is traveling in two-dimensional motion as follows: x(t)=(35t4-500t3 + 50t) m y(t)=…

Q: A car moves along a straight line whose equation of motion is given by s=5+4t-t^2, where s is…

Q: A helicopter ambulance leaves its base and flies south a distance of 50 km. It picks up a patient…

Q: : An automobile starting from rest speeds up to 40 meters per second with a constant acceleration of…

Q: Cars A and B approached each other on a straight road from points 496 meters apart. A has an initial…

Q: A car with a velocity of 15.0 m/s at t1 = 0 sec experiences an acceleration of -2.0 m/s² . If, t t2…

A: given Acceleration =A = -2.0 m/s2 Initial velocity,U = 15.0 m/s Final velocity, V = 5.0 m/s time…

Q: The figure shows the graph of vy versus time for an object moving along the x-axis. Solve…

A: Distance=area under speed time graph

Q: A bullet is fired from a gun. The bullet travels a distance L = 225 ± 0.5 m during a time interval…

Q: A stone is thrown up with a velocity of 74 m/s from the ground. While coming down, it strikes a…

A: Hi, your question has multiple sub-parts so we will solve first three sub-parts for you. For…

Q: An archer fires an arrow directly upward, then quickly runs from the launching spot to avoid being…

A: Given;- The initial velocity of the arrows is u = 81.7 m/s in the upward direction The…

Q: 15 velocity (m/sec) vs time (sec) 5. 8 9 13 16.5 3 5.5 6.5 13 The diagram above shows the…

A: Velocity is defined as the rate of change of displacement. Mathematically, Velocity, v=∆s∆t Where,…

Q: A car traveling with an initial velocity of 30 m/a accelerates at a constant rate of 4.2 m/s squared…

Q: Express your answer in meters per second per second to the nearest • View Available Hint(s) Amin = 0…

A: According to question we need to find distance between t=0 to 2 sec.

Q: A bus travels in a straight line along highway road. Its acceleration a from a toll gate is given as…

A: According to question we need to find --- velocity at 5 second?

Q: A bicycle is moving along x - axis according to the equation x(t) = 2t + 3t^2 where x is in meters…

Q: You are driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in…

Q: The position of a crate sliding down a ramp is given by x = (0.30t)m, y (1.55t2) m, z = (6 -…

Q: When a ball is dropped from a state of rest at time t=0, the distance it has travelled after ?…

Q: velocity (m/sec) vs time (sec) ut of 13 16.5 5.5 65 3. -13 The diagram above shows the velocity(m/s)…

A: The slope of velocity time graph gives acceleration of the body. a=dvdt…

Q: The adjacent diagram shows the velocity-time graph of a moving object. The acceleration of this…

Q: A woman starts from her home at 9.00 am, walks with a speed of 7 km h-1 on a straight road up to her…

A: Given,Distance between home and office, d=3.5kmSpeed of woman while walking to office, v1 =…

Q: A brick was dropped from rest from a height of 91.4 m. How long does it take the brick to reach the…

Q: The velocity of moving object at a point during its motion can be determined using derivatives.…

A: a) Evaluate the object’s instantaneous velocity at time (x=1 s) by substituting the time in the…

Q: 31. The speed-versus-time graph shown below represents the motion of an object. Speed Versus Time 0…

Q: The position of a particle moving along the x-axis is given by x = 12.5 + 23.9t - 4.04t3. Assume SI…

A: Given:Position of a particle on x-axis, x = 12.5 + 23.9t - 4.04t3

Q: An object is dropped from a tower, 153 ft above the ground. The object's height above ground t sec…

Q: In the Funny Car competition at the Joliet Speedway in Joliet, Illinois in October of 2004, John…

Q: The acceleration of a vehicle takes the form du = 3.6 – 0.06u dt where u is the vehicle speed in ft…

Q: V-T Graphs with Acceleration #2: Complete all work on a separate sheet of paper. Determine the…

A: The velocity time graph is given for an object in motion. the velocity is plotted along the y axis…

Q: A bowling ball travelling with a constant velocity hits the pins at the end of a bowling lane 16.90m…

Q: 15 25 30 35 50 60 (sec) v(1) -20 -30 -20 -14 -10 10 (f/sec) a(t) 2 (n/sec) 4 2 A car travels on a…

A: The rate of change of position vector is called velocity. With the help of the given table we will…

Q: On May 26, 1934, a streamlined, stainless steel diesel train called the Zephyr set the world's…

A: Given that the total distance covered by the train is 1633.8km, and the time taken for the journey…

Q: The a-t graph of the bullet train is shown. If the train starts from rest, determine the elapsed…

Q: 15 velocity (m/sec) vs time (sec) 8 9. 13 16.5 5.5 6.5 -13 The diagram above shows the velocity(m/s)…

A: The graph is shown of velocity v/s time graph. y-axis denotes velocity in ms x-axis denotes time in…

Q: What is the total distance traveled by the object in the eight seconds? O 32 m 28 m

A: the object is moving back and forth near the origin. firstly we will label the diagram

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) =…

Q: The distance-time graph below shows the distance Angela travelled as she walked to the end of the…

Concept explainers

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 –

Question

The velocity of an object v(t) is shown in the graph below.
v(t) = t4 – 3t2 and v '(t) = 4t3 – 6t
10
8.
4
-4
-6-
-8-
-10-
Time (s)
What is the average acceleration on the interval [-2, 1]?
0 2.5 플
00프
O -2
0 -2.5 프
Velocity (m/s)

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

Do highway speed limit signs refer to average speeds or to instantaneous speeds? Explain.
A hare and a tortoise compete in a race over a straight course 1.00 km long. The tortoise crawls at a speed of 0.200 m/s toward the finish line. The hare runs at a speed of 8.00 m/s toward the finish line for 0.800 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 8.00 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far is the tortoise from the finish line when the hare resumes the race? (b) For how long in time was the hare stationary?
The Shanghai maglev train connects Longyang Road to Pudong International Airport, a distance of 30 km. The journey takes 8 minutes on average. What is the maglev train’s average velocity?
What is the speed of the bird in Exercise 2.4?
If you divide the total distance traveled on a car trip (as determined by the odometer) by the elapsed time of the trip, are you calculating average speed or magnitude of average velocity? Under what circumstances are these two quantities the same?
A race car traveling northward on a straight, level track at a constant speed travels 0.750 km in 20.0 s. The return trip over the same track is made in 25.0 s. (a) What is the average velocity of the car in m/s for the first leg of the run? (b) What is the average velocity for the total trip?
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
On May 26, 1934, a streamlined, stainless steel diesel train called the Zephyr set the world's nonstop long-distance speed record for trains. Its run from Denver to Chicago took 13 hours, 4 minutes, 58 seconds, and was witnessed by more than a million people along the route. The total distance traveled was 1633.8 km. What was its average speed in km/h and m/s?
A student writes, "A bird that is diving for prey has a speed of -10 m / s." What is wrong with the student's statement? What has the student actually described? Explain.
An object is in motion when it undergoes a continuous change of ___. (2.1)
An object is dropped from a height of 75.0 m above ground level. (a) Determine the distance traveled during the first second. (b) Determine the final velocity at which the object hits the ground. (c) Determine the distance traveled during the last second of motion before hitting the ground.
6. Consider the velocity-time graph shown below. Which section has the smallest v (m/s) D LA + + + 1 2 3 4 5 6 7 8 9 B 4 3 2 1 -1 -2 -3 -4 t(s) magnitude of velocity? know Explain how you this using only words (no calculations)