**Velocity-Time Graph Analysis**The graph shows \( v_x \) (velocity in the x-direction in meters per second) versus \( t \) (time in seconds) for an object moving in a straight line. **Graph Details:**- The x-axis represents time (\( t \)) ranging from 0 to 14 seconds.- The y-axis represents velocity (\( v_x \)) in meters per second (m/s), ranging from 0 to 60 m/s.- The graph's line segments indicate changes in velocity over time: - From \( t = 0 \) s to \( t = 8 \) s, the velocity is constant at 20 m/s. - At \( t = 8 \) s, the velocity increases linearly, reaching 40 m/s at \( t = 10 \) s. - From \( t = 10 \) s to \( t = 12 \) s, the velocity remains constant at 40 m/s. - From \( t = 12 \) s to \( t = 14 \) s, the velocity decreases linearly back to 0 m/s.**Question:**What is the average speed from \( t = 0 \) s to \( t = 9 \) s?**Choices:**- 44 m/s- 32 m/s- 22 m/s---To find the average speed, calculate the area under the curve from \( t = 0 \) s to \( t = 9 \) s and divide by the total time interval. This area can be divided into geometric shapes (typically rectangles and triangles) to simplify the calculation.

From the graph, it can be inferred that the object is moving with a constant speed from t=0 s to t=5 s, and it accelerates from t=5 s to t=9 s. Hence, determine the acceleration of the object from t=5 s to t=9 s as follows. v=u+ata=v-ut=40 m/s-20 m/s9 s-5 s=5 m/s2Determine the net displacement of the object from t=0 s to t=9 s as follows. ∆s=s1+s2=vt+ut+12at2=20 m/s5 s+20 m/s4 s+125 m/s24 s2=220 mThe average speed of the object from t=0 s to t=9 s as follows. vavg=∆s∆t=220 m9 s-0 s=24.44 m/s

Answered: The graph shows Vx versus t for an…

Science

Physics

The graph shows Vx versus t for an object moving in a straight line. What is the average speed fromt 0s to t 9 s? , (m/s) 40 20 2. 4. 10 12 14 6)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A racehorse starts from rest in complete 1/8 of a track in 12.5 seconds a track is 1 mile which is…

A: Given, time t = 12.5 s Track length d = 1.67 km 1 mile = 1.609 km .But the question has a different…

Q: v (m/s) [N] vs t (s) 15 10 -5 -10 10 15 20 25 30 t(s) INI (Sju) A

Q: boat travels at 17 mi/h for 1.50 h. How far does the boat travel?

Q: ou are driving along at a constatnt speed of 26 m/s and you look down at your phone to read a text…

A: Given: The speed of the car is 26 m/s. The time interval is 2.5 s. The car is moving at a uniform…

Q: A speeding car passes a highway patrol checkpoint, then decelerated at a constant rate. After 5.00…

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 student builds and calibrates an accelerometer, which she uses to determine the speed of her car…

Q: 21. Mr. Alexander wants to know the height of a cliff he hiked up. He drops a rock from the top of…

A: Assume the height of the cliff is denoted by h. The initial velocity of the rock is u = 0 m/s.…

Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: If the velocity of a shark is tracked up and down the east coast and given by v(t) = 4t − 40 miles…

Q: If you drive 113 miles in 2 hours and 15 minutes (2.25 hours) then what was the magnitude of your…

Q: How far have you traveled after going a constant 5.06 m/s for 8.70 seconds?

A: Given that, Speed = 5.06 m/s Time = 8.70 s Formula :…

Q: 1. Where and when will they meet? What assumption did you make? Draw a graphical representation to…

A: The two persons, A and B are running towards each other, A with a velocity of 8 m/s and B with a…

Q: 8) What is the slope of this velocity-time graph? Use appropriate units. Velocity (m/s) 25 20 5 s,…

A: We know that, the slope of the line on a velocity versus time graph is equal to the acceleration of…

Q: e the distance traveled during this perio

A: The image you sent shows the velocity graph of a car accelerating from rest to a speed of 120 km/h…

Q: A car driver trained on the race track moved 140 meters in 20 seconds. What was his average speed?

A: we know wheres = avg speed d = total distance traveled =140 mt = total time elapsed=20 sec

Q: whats the definition of average distance?

A: Distance is the length of space between the starting and the ending point.

Q: as a person drives along the highway, they decided to measure the distance between each light…

A: We are assuming that the question is to determine the distance between two light posts. The distance…

Q: 0) An advertisement for the newest model of a Mercedes sports claims the car can go from 0 to 60…

Q: traveling at 95.0 km/hr. The driver steps on the brakes and the car comes to a stop in 60.0 m. nat…

Q: A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.0 s, it coasts for 5.00 s, and then…

Q: 3. A tennis ball is thrown up in the air. It's height is given by h(t) = -5t2 + 23t +2, where h(t)…

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

**Velocity-Time Graph Analysis**

The graph shows \( v_x \) (velocity in the x-direction in meters per second) versus \( t \) (time in seconds) for an object moving in a straight line.

**Graph Details:**

- The x-axis represents time (\( t \)) ranging from 0 to 14 seconds.
- The y-axis represents velocity (\( v_x \)) in meters per second (m/s), ranging from 0 to 60 m/s.
- The graph's line segments indicate changes in velocity over time:
- From \( t = 0 \) s to \( t = 8 \) s, the velocity is constant at 20 m/s.
- At \( t = 8 \) s, the velocity increases linearly, reaching 40 m/s at \( t = 10 \) s.
- From \( t = 10 \) s to \( t = 12 \) s, the velocity remains constant at 40 m/s.
- From \( t = 12 \) s to \( t = 14 \) s, the velocity decreases linearly back to 0 m/s.

**Question:**
What is the average speed from \( t = 0 \) s to \( t = 9 \) s?

**Choices:**
- 44 m/s
- 32 m/s
- 22 m/s

---

To find the average speed, calculate the area under the curve from \( t = 0 \) s to \( t = 9 \) s and divide by the total time interval. This area can be divided into geometric shapes (typically rectangles and triangles) to simplify the calculation.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

4) A freight train left Vancouver at 1:00pm and traveled 100 km east. The train arrived at the final destination at 3:00pm. What was the train's velocity? 5) A bus took 3 hrs to drive from Dufur, Oregon to Portland, Oregon. The bus traveled at 80km/hr. How many kilometers was the trip? to reach your 6) If you drive a distance of 100 km at 25 km/hr, how long will it take destination? you 7) If you drive a distance of 100km at 50 km/hr, how long will it take you to reach your destination? 8) If you walk 12 km in 4 hours, how fast are you walking? nt wos his speed? Should H
Q1
Determine the travel time in hours for a vehicle that was displaced 250 km [N] with an average velocity of 80.0 km/h [N]. Include units and answer to the correct number of significant digits.
10. A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 25.0 min at 75.0 km/h, 16.0 min at 100.0 km/h, and 40.0 min at 50.0 km/h and spends 30.0 min eating lunch and buying gas. Determine the average speed for the trip. (km/h) Determine the distance between the initial and final cities along the route. (km)
A truck is moving at a speed of 50 km/h, how far does it travel in 0.5 h in meters? A)2.50E3m/s B)2.00 E3nm/s C)1.00E3m/s D)4.50E3m/s