An automobile travels on a straight road for 40 km at 30kph. It then continues in the samedirection for another 40 km at 60 kph. (a) What is the average velocity of the car during this 80km 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 inmeters 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 isthe 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 particleduring this 2.4s interval?

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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.

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.

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)...

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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

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?

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