The v-t graph is given below for a car. The car starts from rest at s = 0 and travels along a straight road with the speed shown in the graph. v (m/s) v = e V = -f*t + g V = d*t a b. t (s) Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3 s 12 s 14 s d 1 e 3 0.917 14 a. For the interval 0 < t < 3 s, determine the equation for position as a function of time s (t) . b. For the interval 3 < t < 12 s, determine the equation for position as a function of time s 8 (t) · c. For the interval 12 < t < 14 s, determine the equation for position as a function of time s (t).

The v-t graph is given below for a car. The car starts from rest at s = 0 and travels along a straight road with the speed shown in the graph. v (m/s) v = e V = -ft + g V = dt a b. t (s) Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3 s 12 s 14 s d 1 e 3 0.917 14 a. For the interval 0 < t < 3 s, determine the equation for position as a function of time s (t) . b. For the interval 3 < t < 12 s, determine the equation for position as a function of time s 8 (t) · c. For the interval 12 < t < 14 s, determine the equation for position as a function of time s (t).

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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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 v-t graph is given below for a car. The car starts from rest at s = 0 and travels along a straight road
with the speed shown in the graph.
v (m/s)
v = e
V = -f*t + g
V = d*t
a
b.
t (s)
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
a
3 s
12 s
14 s
d
1
e
3
0.917
14
a. For the interval 0 < t < 3 s, determine the equation for position as a function of time s (t) .
b. For the interval 3 < t < 12 s, determine the equation for position as a function of time s
c. For the interval 12 <t < 14 s, determine the equation for position as a function of time s (t) .
d. For the interval 0 <t < 3 s, determine the equation for acceleration as a function of time a (t) .
e. For the interval 3 <t < 12 s, determine the equation for acceleration as a function of time a (4) .
f. For the interval 12 < t < 14 s, determine the equation for acceleration as a function of time a(t).
g. Determine the total distance the car travels when t = 14 s.
8(t) ·

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