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).

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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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) ·
Transcribed Image Text: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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