An automobile travels on a straight road for 40 km at 30kph. It then continues in the same direction for another 40 km at 60 kph. (a) What is the average velocity of the car during this 80 km trip? (Assume that it moves in the positive x direction.) (b) What is the average speed? (c) Graph x versus t and indicate how the average velocity is found on the graph.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 9OQ: As an object moves along the x axis, many measurements are made of its position, enough to generate...
icon
Related questions
Question
An automobile travels on a straight road for 40 km at 30kph. It then continues in the same
direction for another 40 km at 60 kph. (a) What is the average velocity of the car during this 80
km trip? (Assume that it moves in the positive x direction.) (b) What is the average speed? (c)
Graph x versus t and indicate how the average velocity is found on the graph.
The position of an object moving along an x-axis is given by x = 3t – 4t² + t³, where x is in
meters and t is in seconds. Find the position of the object at the following values of t: (a) 1s, (b)
25, (c) 3s, and (d) 4s. (e) What is the object's displacement between t = 0 and t = 4s? (f) What is
the average velocity for the time interval from t =2s and t = 4s?
The position of a particle moving along the x-axis is given in centimeters by x = 9.75 + 1.5t³,
where t is in seconds. Calculate (a) the average velocity during the time interval t = 2s to t = 35;
(b) the instantaneous velocity at t = 2s; (c) and the instantaneous velocity at t = 2.5s.
At a certain time a particle had a speed of 18 m/s in the positive x-direction, and 2.4 seconds later,
its speed was 30 m/s in the opposite direction. What is the average acceleration of the particle
during this 2.4s interval?
Transcribed Image Text:An automobile travels on a straight road for 40 km at 30kph. It then continues in the same direction for another 40 km at 60 kph. (a) What is the average velocity of the car during this 80 km trip? (Assume that it moves in the positive x direction.) (b) What is the average speed? (c) Graph x versus t and indicate how the average velocity is found on the graph. The position of an object moving along an x-axis is given by x = 3t – 4t² + t³, where x is in meters and t is in seconds. Find the position of the object at the following values of t: (a) 1s, (b) 25, (c) 3s, and (d) 4s. (e) What is the object's displacement between t = 0 and t = 4s? (f) What is the average velocity for the time interval from t =2s and t = 4s? The position of a particle moving along the x-axis is given in centimeters by x = 9.75 + 1.5t³, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2s to t = 35; (b) the instantaneous velocity at t = 2s; (c) and the instantaneous velocity at t = 2.5s. At a certain time a particle had a speed of 18 m/s in the positive x-direction, and 2.4 seconds later, its speed was 30 m/s in the opposite direction. What is the average acceleration of the particle during this 2.4s interval?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Distance and Speed
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill