3) The position of a particle moving along the x axis depends on the time according to the equation x = ct²-bt, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t = 0.0 s to t=4.0 s, (d) what distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (1) 3.0 s, and (m) 4.0 S.

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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3) The position of a particle moving along the x axis depends on the time according to the
equation x = ct²-bt, where x is in meters and t in seconds. What are the units of (a) constant c
and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does
the particle reach its maximum positive x position? From t=0.0 s to t=4.0 s, (d) what distance
does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g)
2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (1) 3.0 s, and (m) 4.0
S.
4) The brakes on your car can slow you at a rate of 5.2 m/s². If you are going 137 km/h and
Transcribed Image Text:3) The position of a particle moving along the x axis depends on the time according to the equation x = ct²-bt, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t=0.0 s to t=4.0 s, (d) what distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (1) 3.0 s, and (m) 4.0 S. 4) The brakes on your car can slow you at a rate of 5.2 m/s². If you are going 137 km/h and
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